21. Globalizing Two-dimensional Unstable Manifolds Of Maps We present an algorithm for computing the global twodimensional unstable manifold of a normally hyperbolic invariant circle of a three-dimensional map. http://www.geom.uiuc.edu/docs/research/manifolds/

Up: Available formats Globalizing two-dimensional unstable manifolds of maps Bernd Krauskopf Theoretical Physics Free University De Boelelaan 1081 1081 HV Amsterdam The Netherlands berndk@nat.vu.nl Hinke Osinga The Geometry Center University of Minnesota 1300 South Second Street Minneapolis, MN 55454 U.S.A hinke@geom.umn.edu Abstract We present an algorithm for computing the global two-dimensional unstable manifold of a normally hyperbolic invariant circle of a three-dimensional map. Our algorithm computes intersections of the unstable manifold with a finite number of leaves of a chosen linear foliation. This allows us to guarantee the quality of the mesh on this manifold. We compute growing pieces of the unstable manifold by using a method that does not depend on the dynamics on the manifold. Our method can also be used for the computation of global two-dimensional unstable manifolds of hyperbolic saddle points. The global stable manifold is obtained by considering the inverse map. To appear in Contents 1. Introduction

22. Coference On The Future Directions In 3-manifolds Future Directions in 3manifolds. Ann Arbor Michigan, October 15-18, 2005. A conference honoring Peter Scott on the occasion of his 60th birthday http://www.math.ucdavis.edu/~hass/P/Scott/conference.html

Future Directions in 3-manifolds Ann Arbor Michigan, October 15-18, 2005 A conference honoring Peter Scott on the occasion of his 60th birthday Sponsored by the National Science Foundation, University of Michigan, Michigan Math Journal and UC Davis. Group photos can be seen here. Pictures Thanks to Bob Edwards for taking these. Speakers Francis Bonahon, USC Dick Canary, University of Michigan David Gabai, Princeton Vincent Guirardel, University Paul Sabatier Steve Kerckhoff, Stanford Michael Khovanov, Columbia Bruce Kleiner, Yale University Peter Kropholler, Glasgow Jeff Lagarias, University of Michigan John Morgan, Columbia Graham Niblo, Southampton Rachel Roberts, Washington University Hyam Rubinstein, University of Melbourne Zlil Sela, Hebrew University, Jerusalem Peter Shalen, University of Illinois at Chicago Organizing Committee: J. Hass, B. Kleiner, D. Long, M. Neumann, S. Gadde Local Organizing Committee: R. Canary, B. Kleiner, J. Lagarias Please Register: There is no registration fee. However registering will help the organizers arrange appropriate size lecture rooms and events, particularly the banquet. To register, go here: REGISTER Banquet: There will be a banquet honoring Peter Scott on Sunday, October 16, 2005 at the Anderson Room, Michigan Union. Additional information about the banquet can be found here:

23. PEX Manifolds - PEX Plumbing Manifolds - Wirsbo Manifolds - Copper Manifolds PEX Plumbing manifolds should be used to ease the installation of PEX Plumbing systems. These manifolds include the Wirsbo Aquacenter manifolds and copper http://pexsupply.com/Categories.asp?cID=518

24. Absil, P., Mahony, R., Sepulchre, R.: Optimization Algorithms On Matrix Manifold of the book Optimization Algorithms on Matrix manifolds by Absil, P., Mahony, R., Sepulchre, R., published by Princeton University Press....... http://press.princeton.edu/titles/8586.html

Book Search: Keywords Author Title or ISBN More Options Power Search Search Hints Google contents of this website: Google full text of our books: Optimization Algorithms on Matrix Manifolds Shopping Cart Endorsements Table of Contents Chapter 1 [HTML] or [PDF format] Optimization Algorithms on Matrix Manifolds offers techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis. It can serve as a graduate-level textbook and will be of interest to applied mathematicians, engineers, and computer scientists. P.-A. Absil R. Mahony is reader in engineering at the Australian National University. R. Sepulchre Endorsement: "The treatment strikes an appropriate balance between mathematical, numerical, and algorithmic points of view. The quality of the writing is quite high and very readable. The topic is very timely and is certainly of interest to myself and my students."Kyle A. Gallivan, Florida State University Table of Contents Link: P.-A. Absil's, R. Mahony's, and R. Sepulchre's Home Page Subject Areas: Mathematics Applied Science and Engineering VISIT OUR MATH WEBSITE Shopping Cart: For customers in the U.S., Canada, Latin America, Asia, and Australia

25. HyClone BPC: Manifolds Hyclone designs and manufactures a broad range of complete manifold systems consisting of various quantities and sizes of BioProcess Containers™ (BPCs), http://www.hyclone.com/bpc/manifolds.htm

Part of Thermo Fisher Scientific HyClone Home BPC Home ... Products Manifolds Hyclone designs and manufactures a broad range of complete manifold systems consisting of various quantities and sizes of BioProcess Containers™ (BPCs), tubing, and filters. Please call Hyclone for more details Products Section Navigation Products Single-Use Mixer Single-Use Bioreactor (S.U.B.) Labtainer ... Accessories Manifolds Custom BPC Products Thermo Fisher Scientific Inc. Contact HyClone Unauthorized reproduction of site graphics or content is prohibited.

26. Exhaust Manifold - Header Manifolds - In Stock - Guaranteed Low Prices Customer service is our number one priority when selling a exhaust manifold to you. Our sales and support staff is available to you 24 hours a day to answer http://www.car-stuff.com/exhaustmanifold.htm

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27. Ocean Management Systems Recall Of SCUBA Manifolds The recall involves the 200 and 300 Bar versions of the OMS Rotating Cross Bar Manifold. The manifold consists of two valves which have...... http://www.cpsc.gov/cpscpub/prerel/prhtml05/05511.html

Recall Alert U.S. Consumer Product Safety Commission Office of Information and Public Affairs Washington, DC 20207 November 17, 2004 Alert #05-511 CPSC, Ocean Management Systems Announce Recall of SCUBA Manifolds The following product safety recall was conducted voluntarily by the firm in cooperation with the CPSC. Consumers should stop using the product immediately unless otherwise instructed. Name of Product: Rotating Cross Bar SCUBA Manifold Units: About 140 Importer: Ocean Management Systems, Inc., of Middletown, NY. Hazard: Undersized o-rings installed on the cross bar can cause a loss of breathing air from the SCUBA cylinder, presenting a risk of drowning. Incidents/Injuries: There has been one report of breathing air leaking from a cylinder. No injuries have been reported. Description: The recall involves the 200 and 300 Bar versions of the OMS Rotating Cross Bar Manifold. The manifold consists of two valves which have "O.M.S." stamped on the side of each valve and a crossbar that has three O-rings per side. Each part has a black plastic knob. Sold at: Dive stores nationwide from December 2003 through September 2004 for about $238.

28. Smooth Manifolds A smooth manifold is a topological space with an open cover in which the covering neighbourhoods are all smoothly isomorphic to one another. http://www.chaos.org.uk/~eddy/math/smooth.html

Smooth Manifolds One of the most important changes general relativity forced in physical theory was the transition from modelling space-time as a flat (vector) space to modelling it as a curved space. The former is globally Euclidean (a formal description of flat space): the latter is locally Euclidean, but deviates from this behaviour in large regions. The mathematical formalism for describing curved spaces is the smooth manifold A smooth manifold is a topological space with an open cover in which the covering neighbourhoods are all smoothly isomorphic to one another. One generally defines smoothly for these purposes in terms of a smooth atlas obtain a full tensor bundle for the smooth manifold and a notion of smoothness for tensor fields on the manifold. Given the tensor bundle, we are in a position to describe a Riemannian or pseudo-Riemannian geometry on the manifold. This suffices to allow us the illusion of a Euclidean or pseudo-Euclidean view of all sufficiently small regions of the smooth manifold. The deviations from true (pseudo-) Euclidean geometry in insufficiently small regions can then be understood in terms of curvature, for the meaning of which we must look at differential operators on the manifold. We will in any case need differential operators on our manifold if we are to build anything like our usual physical theories: we must be able to differentiate arbitrary smooth tensor fields (and the relevant derivatives must possess at least some sensible properties). This, in fact, leaves a fair amount of freedom to chose differential operators: however, if we insist on a differential operator which considers our

29. Smartflow By Burger Engineering - Manifolds Aluminum manifolds 3/4 to 2 NPT Supply Single or parallel designs and various port configurations provide very compact overall http://www.smartflow-usa.com/al_manifold.htm

Burger Eng Contact Us About Us Tech Docs ... Online Catalog Aluminum Manifolds - 3/4" to 2" NPT Supply Single or parallel designs and various port configurations provide very compact overall sizes allowing use in restricted areas. Click to download manifold catalog (396K) Click to link to Part Solutions. 3-D CAD data for manifolds is available in most formats Features and Benefits One-piece aluminum extrusion No welds Anodized for corrosion resistance Various port sizes available Brass end plug included Pre-drilled mounting holes and screws Single or parallel manifold configuration Standard items in stock - custom items available Money-back guarantee Optional ball valves and flow meters MENU: Home Distributors Services Technical Docs ... Burger Eng Catalog: Manifolds Ferrogard Flowmeters Flow Regulators ... FasTie Ejctr Tie-In Website design by: Stevenson Consulting Contact website support

30. Foliations And The Topology Of 3-manifolds Course Page Rationale to give an exposition of some recent developments in the theory of foliations and laminations of 3manifolds, and their relation to the http://www.its.caltech.edu/~dannyc/courses/fol/fol.html

Math 277x: Foliations and the topology of 3-manifolds. Fall 2001 Instructor: Danny Calegari MWF 12-1 SC 113 Rationale: to give an exposition of some recent developments in the theory of foliations and laminations of 3-manifolds, and their relation to the geometrization conjecture. Description of topics In this course we will study 2-dimensional foliations and laminations, mostly in the context of 3-manifold topology. In the last few years it has become apparent that there are deep connections between the theory of taut foliations and the Thurston theory of geometric structures on 3-manifolds. Tools from the geometric study of Riemann surfaces - train tracks, geodesic laminations, quasiconformal deformations, etc. - can be adapted to this context, and provide new avenues for the 1-dimensional complex analyst to explore. The aim of the course is to give an exposition of some of these results which are not widely available. In particular, we will show that 3-manifolds with essential laminations satisfy the "weak geometrization conjecture", and we will discuss the extent to which the tools of taut foliation theory can be generalized to a "coarse" context. Basic definitions and examples of foliations Existence results for foliations; Haefliger structures

31. Weiand Performance Intake Manifolds And Superchargers Weiand developed the first ever aluminum intake manifold and today also makes superchargers highflow water pumps. http://www.holley.com/index.asp?division=Weiand

32. Trust-region Methods On Riemannian Manifolds With Applications In Numerical Line A general scheme for trustregion methods on Riemannian manifolds is proposed. A truncated conjugate-gradient algorithm is utilized to solve the http://www.csit.fsu.edu/~absil/Publi/RTR.htm

Paper ID sheet TITLE: Trust-region methods on Riemannian manifolds AUTHORS: P.-A. Absil, C. G. Baker, K. A. Gallivan. ABSTRACT: STATUS: Foundations of Computational Mathematics, Volume 7, Number 3, pages 303-330, July 2007. Journal article http://dx.doi.org/10.1007/s10208-005-0179-9 Preprint [ pdf Companion tech report: see report FSU-SCS-2006-175 at http://scseprints.scs.fsu.edu/ (or see local copy Preliminary conference paper: "Trust-region methods on Riemannian manifolds with applications in numerical linear algebra", Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS2004), Katholieke Universiteit Leuven, Belgium, July 5-9, 2004. PDF file Technical Report FSU-CSIT-04-13, July 2004, accessible from CSIT Publications for 2004 Slides of a talk given at the Dynamical Systems and Computation Day PDF file Other set of slides: pdf ps 9up BibTeX citation: [Home]

33. 18.966 - Geometry Of Manifolds - Spring 2008 This is a secondsemester graduate course on the geometry of manifolds. The main emphasis is on the geometry of symplectic manifolds, but the material also http://www-math.mit.edu/~auroux/18.966/

18.966 - Geometry of Manifolds - Spring 2008 D. Auroux Homework Homework 1 (handed out in lecture on Tue Feb 19, due on Wed Feb 27). Solutions Homework 2 (handed out in lecture on Mon Mar 10, due on Wed Mar 19). Lecture summary Wed Feb 6: Mon Feb 11: symplectic vector spaces and linear algebra; symplectic manifolds, first examples; symplectomorphisms; symplectic form on the cotangent bundle (A. Cannas da Silva, Lectures on Symplectic Geometry , Lect. Notes in Math. 1764, Springer, pp. 3-13). Wed Feb 13: symplectic and Lagrangian submanifolds; graphs in T*X; graphs of symplectomorphisms as Lagrangian submanifolds in products; isotopies and vector fields; Hamiltonian vector fields; symplectic vector fields, flux; classical mechanics (Cannas pp. 15-19, 35-37, 105-107). Tue Feb 19: isotopy and deformation equivalence; Moser's theorem; Darboux's theorem; tubular neighborhoods (Cannas pp. 37-46). Mon Feb 25: local version of Moser's theorem; Weinstein's neighborhood theorem (Cannas pp. 40, 45-52).

34. AN INTRODUCTION TO DIFFERENTIAL MANIFOLDS Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups http://www.worldscibooks.com/mathematics/p285.html

Home Browse by Subject Bestsellers New Titles ... Browse all Subjects Search Bookshop New Titles Editor's Choice Bestsellers Book Series ... Join Our Mailing List AN INTRODUCTION TO DIFFERENTIAL MANIFOLDS by (University of Cambridge, UK) This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topology. Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincaré–Hopf theorem relating the Euler number of a manifold and the index of a vector field. Each chapter contains exercises of varying difficulty for which solutions are provided. Special features include examples drawn from geometric manifolds in dimension 3 and Brieskorn varieties in dimensions 5 and 7, as well as detailed calculations for the cohomology groups of spheres and tori. Contents: Differential Manifolds and Differentiable Maps The Derivatives of Differentiable Maps Fibre Bundles Differential Forms and Integration The Exterior Derivative De Rham Cohomology Degrees, Indices and Related Topics

35. Marine Parts, Manifolds, Risers, Starters, Alternators, Engines, And More - EBas eBasicPower has the best prices on replacement parts for Mercruiser, OMC, Volvo Penta, Crusader, Pleasurecraft and your sterndrive, inboard, http://www.ebasicpower.com/

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36. THE RAMSAY CO  Manufacture / Design Of Hydraulic Manifolds The Ramsay company Designer and manufacturer of hydraulic manifolds, componets and accessories for the fluid power industry. Weldments, din blocks. http://www.ramsayco.com/

DESIGNER AND MANUFACTURER OF HYDRAULIC MANIFOLDS, COMPONENTS AND ACCESSORIES FOR THE FLUID POWER INDUSTRY manifold, manifolds, hydraulic, fluid power, hydraulic manifolds, barstock, custom design, subplate, weldment, rotary, live swivel, adapter, cartridge, cavity, din, flange, sun, hydraforce, waterman, vickers, rexroth, common cavity, fps, danfoss, sundstrand, daman, birmingham, almo, sterling precision, sterling, delta, phd, PHD, compact controls, sandwich plates, castings, precision, o-ring, oring, fitting, nfpa, iso9000, cylinders, pumps, valves, hydraulic motors, actuators, hose, fittings, pneumatics, MANIFOLDS, SUBPLATES AND ADAPTER PLATES DIN BLOCKS AND TANK-TOP UNITS WELDMENTS AND HEADERS ROTARY MANIFOLDS ABOUT THE RAMSAY COMPANY CUSTOM MANIFOLDS AND ACCESSORIES THE RAMSAY COMPANY Or Toll Free Phone PH 877-626-4365 Email Best Viewed in 600 x 800

37. General Manifolds General manifolds technology describes the differentialgeometric structure General manifolds LLC 6965 El Camino Real 105-197 Carlsbad, CA 92009, USA http://www.gmanif.com/

38. J. Ray McDermott: Mentor Subsea Manifolds Subsea manifolds are an integral part of many subsea development projects. Mentor has supplied manifolds for harsh deepwater service. http://www.jraymcdermott.com/mentor/mentor_subsea.htm

gfSuppressTopmenu = false; Company Profile Company Charter Press Room Investor Relations ... Mentor Subsea SUBSEA MANIFOLDS Services Products Subsea manifolds are an integral part of many subsea development projects. Mentor has supplied manifolds for harsh deepwater service. Mentor's experience allows for the successful integration of the manifold into the overall field development program to fully complement the Xmas tree(s), control system and production plan for the development The manifolds represent a key component for flow assurance in the case of anticipated wax or hydrate issues. Basic design concepts, executed for the specific application allow tailoring of the manifold and overall production system without massive and costly redesign as project requirements become fully defined. Mentor has developed relationships with key component suppliers to address quality, price and delivery on an ongoing basis. Project Controls Engineering Analysis CADD Procurement ... (Please read our legal statement.)

39. Spray Manifolds - Foundry & Die Cast Automation Equipment Spray manifolds can be designed to fit each die caster s specific application. The standard type of manifold is a straight bar which lends itself to general http://www.rimrockcorp.com/Foundry-Diecast/Manifolds.asp

Home About Us Applications Products ... Products Thumbnail panels: 24 in Wide Bar Manifold with (10) 025 Nozzles 414 Custom Manifold for Washing Machine Motor Typical 042 Manifold on IRB 6400S Robot with (8) Nozzles 18 in Wide Single Lube with (8) 025 Nozzles Custom Manifold With (4) 022 Nozzles Mounted On IRB-140 025X Custom Manifold on IRB 6600 Robot with Independent Control of (32) Nozzles and Repositioning Tips 6 Zone Manifold With Extra Plate And Nozzles For End-on Core Spraying Manifolds Spray manifolds can be designed to fit each die caster's specific application. The standard type of manifold is a straight bar which lends itself to general die spray by sweeping and dwelling at multiple positions. The custom manifold sprays at a singular dwell location and can be designed to spray dies faster and with less lube promoting longer die life and a quicker start-up. Compared to hand spray, the standard straight bar manifold can reduce spray cycle times by 15% and the custom manifold can reduce the cycle time by 30%. Standard Manifolds Rimrock's standard manifolds are designed to mount nozzles in-line on a supply bar of adequate length to accommodate the dies. The nozzle mounting positions and nozzle tip configurations can change on the bar face to coincide with different casting spray requirements.

40. Front: [math.GT/0210206] Families Of Simply Connected 4-Manifolds With The Same Abstract This article presents the constructions of new infinite families of smooth 4manifolds with the property that any two manifolds in the same family http://front.math.ucdavis.edu/math.GT/0210206

Front for the arXiv Fri, 14 Mar 2008 Front math GT math.GT/0210206 search register submit journals ... iFAQ math.GT/0210206 Title: Families of Simply Connected 4-Manifolds with the Same Seiberg-Witten Invariants Authors: Ronald Fintushel , Ronald J. Stern Categories: math.GT Geometric Topology MSC: Abstract: This article presents the constructions of new infinite families of smooth 4-manifolds with the property that any two manifolds in the same family are homeomorphic and, from their construction, seem to be quite different, but cannot be distinguished by Seiberg-Witten invariants. Whether these manifolds are, or are not, actually diffeomorphic seems to be a very difficult question to answer. The most interesting of these constructions is a surgery that from certain symplectic 4-manifolds will produce nonsymplectic 4-manifolds. This is detected by calculations of Seiberg-Witten invariants. The surgery in question can be performed on any 4-manifold which contains as a codimension submanifold a punctured surface bundle over a punctured surface and a nontrivial loop in the base which has trivial monodromy. Owner: Ronald Fintushel Version 1: Mon, 14 Oct 2002 19:29:05 GMT

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