21. Mathematical Sciences Research Institute - Differential Geometry Research program at MSRI, Berkeley, CA, USA; 11 August 2003 15 May 2004. http://www.msri.org/calendar/programs/ProgramInfo/108/show_program

SITE MAP SEARCH SHORTCUT: Choose a Destination... Calendar Programs Workshops Summer Grad Workshops Seminars Events/Announcements Application Materials Visa Information Propose a Program Propose a Workshop Policy on Diversity MSRI Alumni Archimedes Society Why Give to MSRI Ways to Give to MSRI Donate to MSRI Planned Gifts FAQ Staff Member Directory Contact Us Directions For Visitors Pictures Library Computing SGP Streaming Video / VMath MSRI in the Media Emissary Newsletter Outlook Newsletter Subscribe to Newsletters Books, Preprints, etc. Federal Support Corporate Affiliates Sponsoring Publishers Foundation Support Academic Sponsors HOME ACTIVITIES CORP AFFILIATES ABOUT COMMUNICATIONS Calendar ... Events/Announcements Differential Geometry August 11, 2003 to May 15, 2004 at the Mathematical Sciences Research Institute, Berkeley, California Organized By: Robert Bryant (co-chair), Frances Kirwan, Peter Petersen, Richard Schoen, Isadore Singer, and Gang Tian (co-chair) Differential geometry is a vast subject that has its roots in both the classical theory of curves and surfaces, i.e., the study of properties of objects in physical space that are unchanged by rotation and translation, and in the early attempts by Gauss and Riemann, among others, to understand the features of problems from the calculus of variations that are independent of the coordinates in which they might happen to be described. As classical as the subject is, it is currently undergoing a very vigorous development, interacting strongly with theoretical physics, mechanics, topology, algebraic geometry, symplectic topology, partial differential equations, the calculus of variations, integrable systems, and many other subjects. The five main topics on which we propose to concentrate the program are areas that have shown considerable growth in the last ten years:

22. Natural Operations In Differential Geometry First it should be a monographical work on natural bundles and natural operators in differential geometry. This is a field which every differential geometer http://www.emis.de/monographs/KSM/index.html

The Electronic Library of Mathematics Mathematical Monographs For fastest access: Choose your nearest mirror site! Natural operations in differential geometry by Ivan Kolar, Jan Slovak and Peter W. Michor Paper version originally published by Springer-Verlag, Berlin, Heidelberg, New York, 1993 ISBN 3-540-56235-4 (Germany) Download the whole book as one file: HYPER-DVI ] (838,207 bytes) Postscript ] (1,330,587 bytes) PDF ] (2,945,143 bytes) The aim of this book is threefold: First it should be a monographical work on natural bundles and natural operators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Second this book tries to be a rather comprehensive textbook on all basic structures from the theory of jets which appear in different branches of differential geometry. Even though Ehresmann in his original papers from 1951 underlined the conceptual meaning of the notion of an $r$-jet for differential geometry, jets have been mostly used as a purely technical tool in certain problems in the theory of systems of partial differential equations, in singularity theory, in variational calculus and in higher order mechanics. But the theory of natural bundles and natural operators clarifies once again that jets are one of the fundamental concepts in differential geometry, so that a thorough treatment of their basic properties plays an important role in this book. We also demonstrate that the central concepts from the theory of connections can very conveniently be formulated in terms of jets, and that this formulation gives a very clear and geometric picture of their properties.

23. Differential Geometry And Knot Theory General description The differential geometry part of this course involves the study of curves and surfaces in threedimensional Euclidean space. http://www.maths.manchester.ac.uk/kd/ma351/ma351.html

Next: Introduction Differential Geometry and Knot Theory General Information General description: The differential geometry part of this course involves the study of curves and surfaces in three-dimensional Euclidean space. Using vector calculus and moving frames of reference on curves embedded in surfaces we can define quantities such as Gaussian curvature that allow us to distinguish among surfaces. The knot theory part of the course is concerned with various ways to embed a circle in Euclidean space and how two knots can be distinguished from one another. Course description: Tangent vectors, vector fields, differentiable maps, curves, Frenet frames, surfaces, shape operator, Gaussian and mean curvature, knots, knot groups, Alexander polynomials. See the online documents relating to this course: Curves Surfaces Knots Author: Professor C.T.J. Dodson Homepage You can email me for any further information at: ctdodson@manchester.ac.uk Other On-Line Mathematical Materials: Mathematical Formulae and Tables (PDF format). Revision Notes on Series (PDF format).

24. EDGE A TMR network. Structure, activities, news and resources. http://edge.imada.sdu.dk/

EDGE EDGE information Welcome Structure Activities Positions available ... About this homepage EUROPEAN DIFFERENTIAL GEOMETRY ENDEAVOUR EDGE aims to encourage and facilitate research and training in major areas of differential geometry, which is a vibrant and central topic in pure mathematics today. A significant theme which unites the areas that are the subject of this endeavour is the interface with other disciplines, both pure (topology, algebraic geometry) and applied (mathematical physics, especially gauge theory and string theory). The members of EDGE are geometers in mathematical centres spreading among most European countries. These centres are grouped into nine geographical nodes which are responsible for the management of joint research projects and for the training of young researchers through exchange between the EDGE groups. The following are some of the common mathematical themes that underlie and unify the tasks to be addressed by EDGE. Another unifying theme is the use of analytical and differential-geometric methods in attacking problems whose origin is not in differential geometry per se. These methods will be used by researchers throughout the network to investigate a wide variety of problems in related areas of mathematics including topology, algebraic geometry, and mathematical physics. In algebraic geometry, for example, there are a number of problems that are best attacked with `transcendental methods'. In some cases, the research concerns correspondences between differential-geometric and algebraic-geometric objects (as in the Hitchin-Kobayashi correspondence and its generalizations).

25. Differential Geometry And Its Applications The mailing address is Elsevier B.V., differential geometry and Its Applications (DIFGEO), Radarweg 29, 1043 NX Amsterdam, The Netherlands. http://www.karlin.mff.cuni.cz/jdga/

Editorial Office You will be directed to the new Journal homepage http://dga.math.muni.cz in few seconds.

26. Bibliographies The files searched here are my own rather scratchy bibliography of the contents of the Journal of differential geometry and some of the citations from http://www.math.ufl.edu/math/biblio.html

Bibliographies We are still developing this service. Please send comments and error reports to cws@math.ufl.edu. This file was last modified on September 16, 1997 Table of Contents Introduction More about WAIS More about Glimpse Bibliography on ergodic theory and dynamical systems ... UF Math Department Home Page Introduction to the Bibliographies This is a collection of bibliographies served to the Internet by the University of Florida Department of Mathematics. Details on individual bibliographies are contained in appropriate sections below. At this writing, we offer two distinct search mechanisms for the bibliographies, which are also described in more detail below. This introduction says a bit about the two database servers and offers some general remarks on their use. Saving Your Search You probably want to save your search results to one or more files on your own computer, and most Web readers will let you do this from a Save, Save As, or Print command. Users of graphics-based browsers probably want to look for a Save As button or menu item. Lynx users would use the

27. Discrete Differential Geometry 2007 Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. http://www.math.tu-berlin.de/geometrie/ps/ddg07.shtml

DFG Research Unit Polyhedral Surfaces Home Projects Publications People ... Download PDF Discrete Differential Geometry Conference in Berlin: July 16 - 20, 2007 The conference takes place at Harnack-Haus in Berlin, and is supported by the DFG Research Unit 565 "Polyhedral Surfaces" Program Organizers Alexander I. Bobenko (TU Berlin) Nicolai Reshetikhin (UC Berkeley) Local organizing committee Alexander I. Bobenko Emanuel Huhnen-Venedey Boris Springborn Contact: ddg07@math.tu-berlin.de Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. Discrete differential geometry aims at the development and application of discrete equivalents of the geometric notions and methods of differential geometry. The latter appears then as a limit of refinements of the discretization. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. We plan to have about 30 talks in this new area of mathematics. Invited speakers Vladimir Bazhanov Ulrich Brehm David Cimasoni David Cohen-Steiner Herbert Edelsbrunner Udo Hertrich-Jeromin Tim Hoffmann Michael Joswig Melvin Leok Feng Luo Christian Mercat Jean-Marie Morvan Igor Pak Ulrich Pinkall Konrad Polthier Wolfgang Schief Jean-Marc Schlenker Ken Stephenson John Sullivan Yuri Suris Johannes Wallner Complete list of participants Emanuel Huhnen-Venedey

28. Graphics Archive - Special Topics:Differential Geometry Classical differential geometry uses differential calculus to study the properties of figures such as curves and surfaces in Euclidean planes or spaces. http://www.geom.uiuc.edu/graphics/pix/Special_Topics/Differential_Geometry/

Graphics Archive Up Comments Special Topics :Differential Geometry Classical differential geometry uses differential calculus to study the properties of figures such as curves and surfaces in Euclidean planes or spaces. Modern differential geometry expands this to include non-euclidean spaces, and higher-dimensional submanifolds, but still based on the methods of differential and integral calculus. Images: Face Drawn on Sphere Flat Moebius Strip Sphere Scribble Sudanese Moebius Band The Geometry Center Home Page Comments to: webmaster@www.geom.uiuc.edu Created: Tue Feb 11 7:10:26 CST 1997 - Last modified: Tue Feb 11 7:10:26 CST 1997 The Geometry Center For permission to use these images, please contact permission@geom.math.uiuc.edu

29. Differential Geometry In Nagoya 2004 Homological McKay correspondence in terms of the birational geometry of algebraic stacks 1510 1610 Toshiki Mabuchi (Osaka Univ. http://www.math.titech.ac.jp/~tshoda/nagoya-geometry2004-e.html

Differential Geometry in Nagoya 2004 (Last Update Dec 6) Japanese December 18, 2004 ~ December 21, 2004 Place: Noyori Conference Hall in Nagoya University Contact: Graduate School of Mathematics, Nagoya University Furocho chi, Chigusaku, Nagoya, 464-8602, Japan 052-789-2814(Shin Nayatani) OrganizersF @@@Kazuo Akutagawa (Tokyo Univ of Science) akutagawa_kazuo@ma.noda.tus.ac.jp @@@Akito Futaki (Tokyo Tech) futaki@math.titech.ac.jp @@@Mitsuhiro Itoh (Tsukuba Univ) itohm@sakura.cc.tsukuba.ac.jp @@@Ryoichi Kobayashi (Nagoya Univ) ryoichi@math.nagoya-u.ac.jp @@@Shin Nayatani (Nagoya Univ) nayatani@math.nagoya-u.ac.jp December 18 @@@@13:30 - 14:30 Richard P.Thomas (Imperial College, UK) @@@@@@@@@@@@ Slope stability of projective varieties @@@@14:50 - 15:50 Kenji Fukaya (Kyoto Univ.) @@@@@@@@@@@@ Loop space and Floer homology @@@@16:10 - 17:10 Kaoru Ono (Hokkaido Univ.) @@@@@@@@@@@@ Floer-Novikov cohomology and the flux conjecture @@@ December 19 @@@@9:30 - 10:30 Hironori Kumura (Shizuoka Univ.) @@@@@@@@@@@@ A note on the essential spectrum of the Laplacian and vague convergence of the curvature at infinity @@@@10:50 - 11:50 Kota Yoshioka (Kobe Univ.) @@@@@@@@@@@@

30. "Differential Geometry" Notes Homepage differential geometry (and Relativity) Summer 2000 Chapter 2 Special Relativity The Geometry of Flat Spacetime. http://www.etsu.edu/math/gardner/5310/notes.htm

Differential Geometry (and Relativity) - Summer 2000 Classnotes Copies of the classnotes are on the internet in PDF, Postscript and DVI forms as given below. In order to view the DVI files, you will need a copy of LaTeX and you will need to download the images separately. Click here for a list of the images. Chapter 1: Introduction. PDF. PS. DVI. Section 1-1: Curves. PDF. PS. DVI. Section 1-2: Gauss Curvature. PDF. PS. DVI. Section 1-3: Surfaces in E PDF. PS. DVI. Section 1-4: First Fundamental Form. PDF. PS. DVI. Section 1-5: Second Fundamental Form. PDF. PS. DVI. Section 1-6: The Gauss Curvature in Detail. PDF. PS. DVI. Section 1-7: Geodesics. PDF. PS. DVI. Section 1-8: The Curvature Tensor and the Theorema Egregium PDF. PS. DVI. Section 1-9: Manifolds. PDF. PS. DVI. Chapter 2: Special Relativity: The Geometry of Flat Spacetime. PDF. PS. DVI. Section 2-1: Inertial Frames of Reference. PDF. PS. DVI. Section 2-2: The Michelson Morley Experiment. PDF.

31. Mathematics 4080 - Differential Geometry Maple Worksheet for computing the Frenet frame for a curve in 3space. Introduction to this class and differential geometry (PDF format) http://www.math.uncc.edu/~droyster/courses/fall98/math4080/

32. Warwick Mathematics Institute – Research Areas differential geometry is the study of geometric structures on manifolds. PDEs and Analysis on Infinite Dimensional Spaces in differential geometry. http://www.maths.warwick.ac.uk/research/research_areas/diff_geom.html

Search University Contact Us A-Z Index General Information ... webadmin@maths Differential Geometry Differential Geometry is the study of geometric structures on manifolds. Manifolds are spaces which locally look like Euclidean space and therefore, one can do calculus on manifolds by means of coordinate charts. Examples of manifolds include surfaces in 3-space, complex projective space, matrix (Lie) groups (e.g. O(n), SU(n), SL(n), etc.). The way in which coordinate charts are pieced together give the manifold a differentiable structure or a complex structure. Geometric structures include Riemannian structure in which an inner product is specified on the tangent space at each point of the manifold. This allows us to measure length of curves, angles and most importantly, to define curvature. ( Micallef Topping Symplectic structure in which a closed skew-symmetric bilinear form is specified on the tangent space at each point of the manifold. This structure was inspired by considerations from classical mechanics (Poisson bracket, etc. ). ( Rawnsley Micallef Symmetric structures, including

33. Differential Geometry Conference on differential geometry in honour of Paul Gauduchon on the occasion of his 60th birthday - Palaiseau, 18-20 May, 2005 http://www.cirget.uqam.ca/paul/

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34. VIII International Colloquium On Differential Geometry This new edition of the series of International Colloquia on differential geometry of Santiago de Compostela (Spain) is thought as a celebration of the http://xtsunxet.usc.es/icdg2008/

VIII International Colloquium on Differential Geometry Santiago de Compostela, 7-11 July 2008 E. Vidal Abascal Centennial Congress A satellite event of the 5th European Congress of Mathematics Presentation The Department of Geometry and Topology (Univ. of Santiago de Compostela, Spain) announces the celebration of the This new edition of the series of International Colloquia on Differential Geometry of Santiago de Compostela (Spain) is thought as a celebration of the centenary of the birth of Prof. Enrique Vidal Abascal (1908-1994), organizer of the three first Colloquia in the series, held in 1963, 1967 and 1972, and who made, with this innovator initiative, a fundamental contribution to the begining of the change of mathematical research in Spain in the second half of the XX century. This new Colloquium will offer the participants an opportunity for the presentation of their more recent results in the framework of the two sections in which the Colloquium will be scheduled: Section 1: Foliation Theory Section 2: Riemannian Geometry The conference will be held at: Faculty of Mathematics University of Santiago de Compostela (Spain) Contact Please visit our registration page, or e-mail us at

35. Sfb 288 Home Page Sonderforschungsbereich 288 differential geometry and Quantum Physics * 1992 † 2003. Webmaster Please look at the impressum. http://www-sfb288.math.tu-berlin.de/

Home About Us Research People ... Impressum Sonderforschungsbereich 288 Differential Geometry and Quantum Physics Webmaster: Please look at the impressum. TU-Berlin Mathematik , MA 8-3, Strasse des 17 Juni 136, 10623 Berlin

36. Differential Geometry Reconstructed (free Work-in-progress Book) To download the current draft of differential geometry reconstructed My DG book examines the fundamentals of modern differential geometry in detail. http://www.topology.org/tex/conc/dg.html

37. Differential Geometry And Its Applications vls.icm.edu.pl/cgibin/sciserv. pl?collection=elsevier journal=09262245 - differential geometry, WLB. http://vls.icm.edu.pl/cgi-bin/sciserv.pl?collection=elsevier&journal=09262245

38. Congress Alfred Gray International Congress on differential geometry. in memory of Alfred Gray (19391998). September, 18-23, 2000, Bilbao (Spain) http://www.ehu.es/Gray/

International Congress on Differential Geometry in memory of Alfred Gray (1939-1998) September, 18-23, 2000, Bilbao (Spain) The Congress will take place in Avda. Lehendakari Aguirre 83, Bilbao Scientific Committee: Th. Banchoff (Brown University, USA), J. P. Bourguignon (IHES, France), S. Donaldson (Imperial College, England), J. Eells (Cambridge University, England), S. Gindikin (Rutgers University, USA), M. Gromov (IHES, France), O. Kowalski (Charles University, Czech Republic), M. Mezzino (University of Houston-Clear Lake, USA), S. Novikov (University of Maryland, USA), M. Pinsky (Northwestern University, USA), A. Ros (Universidad de Granada), S. Salamon (Oxford University, England), L. Vanhecke (Katholicke Universiteit Leuven, Belgium), J. Wolf (University of California-Berkeley, USA). Organizing Committee: chairman L. A. Cordero (Universidad de Santiago de Compostela), (Universidad de Murcia), (CSIC), M. Macho-Stadler (Universidad de Valencia), L. Ugarte (Universidad de Zaragoza). Main Speakers: Thomas Banchoff (Brown University, USA)

39. Lecture Notes On Differential Geometry Review of basics of Euclidean Geometry and Topology. Proofs of the CauchySchwartz inequality, Heine-Borel and Invariance of Domain Theorems. http://www.math.gatech.edu/~ghomi/LectureNotes/

Lecture Notes on Differential Geometry Mohammad Ghomi Gauss Riemann Cartan Volume I: Curves and Surfaces Lecture Notes 0 Basics of Euclidean Geometry, Cauchy-Schwarz inequality. Lecture Notes 1 Definition of curves, examples, reparametrizations, length, Cauchy's integral formula, curves of constant width. Lecture Notes 2 Isometries of Euclidean space, formulas for curvature of smooth regular curves. Lecture Notes 3 General definition of curvature using polygonal approximations (Fox-Milnor's theorem). Lecture Notes 4 Curves of constant curvature, the principal normal, signed curvature, turning angle, Hopf's theorem on winding number, fundamental theorem for planar curves. Lecture Notes 5 Osculating circle, Kneser's Nesting Theorem, total curvature, convex curves. Lecture Notes 6 The four vertex theorem, Shur's arm lemma, isoperimetric inequality. Lecture Notes 7 Torsion, Frenet-Seret frame, helices, spherical curves. Lecture Notes 8 Definition of surface, differential map. Lecture Notes 9 Gaussian curvature, Gauss map, shape operator, coefficients of the first and second fundamental forms, curvature of graphs. Lecture Notes 10 Interpretations of Gaussian curvature as a measure of local convexity, ratio of areas, and products of principal curvatures.

40. Differential Geometry — Infoplease.com differential geometry, branch of geometry in which the concepts of the calculus are applied to curves, surfaces, and other geometric entities. http://www.infoplease.com/ce6/sci/A0815493.html

Site Map FAQ in All Infoplease Almanacs Biographies Dictionary Encyclopedia Spelling Checker Daily Almanac for Mar 14, 2008 Search White Pages Skip Navigation Home Almanacs ... Word of the Day Editor's Favorites Women's History Month Kosovo Country Profile School Shootings Timeline St. Patrick's Day ... 2007 Year in Review Search: Infoplease Info search tips Search: Biographies Bio search tips google_ad_client = 'pub-1894504138907931'; google_ad_width = 120; google_ad_height = 240; google_ad_format = '120x240_as'; google_ad_type = 'text'; google_ad_channel =''; google_color_border = ['336699','B4D0DC','DFF2FD','B0E0E6']; google_color_bg = ['FFFFFF','ECF8FF','DFF2FD','FFFFFF']; google_color_link = ['0000FF','0000CC','0000CC','000000']; google_color_url = ['008000','008000','008000','336699']; google_color_text = ['000000','6F6F6F','000000','333333']; Encyclopedia differential geometry differential geometry, branch of geometry in which the concepts of the calculus are applied to curves, surfaces, and other geometric entities. The approach in classical differential geometry involves the use of coordinate geometry (see analytic geometry Cartesian coordinates ), although in the 20th cent. the methods of differential geometry have been applied in other areas of geometry, e.g., in

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