1. Cartan's Corner Elie Cartan Elie cartan elie Cartan From 1899 to 1945, Elie Cartan, a son of a blacksmith, developed a set of extraordinary mathematical ideas that http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

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12. TQFT Club Meeting 30-Mar-2000 cartan elie, ``La theorie des groupes finis et continus et la geometriedifferentielle. GauthiersVillars, 1937. cartan elie, ``La methode du repere mobile http://www.math.ist.utl.pt/~rpicken/tqft/30_03_00.html

TQFT Club Meeting 30-Mar-2000 12.30 Lunch party meets at Restaurante "Rota do Colombo" (previously called "O Mimo"). All welcome. Afternoon Session Room 3.10 Mathematics Department, IST 14.00 - 15.15 João Nuno Tavares (Faculdade de Ciências, Universidade do Porto) Bibliografia: Cartan Elie, ``La theorie des groupes finis et continus et la geometrie differentielle." Gauthiers-Villars, 1937. Cartan Elie, ``La methode du repere mobile, la theorie des groupes continus et les espaces generalises." Hermann, 1935. Griffiths P., ``On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry." Duke Math. Journal 41 (1974), 775-814. Griffiths P., Harris J., ``Algebraic geometry and local differential geometry." Ann. Sci. Ecole Norm. Sup. 12 (1979), 355-452. Akivis M.A., Goldberg V.V. ``Projective differential geometry of submanifolds." North-Holland, 1993. Akivis M.A., Goldberg V.V. ``Conformal differential geometry and its generalizations." John Wiley and Sons, Inc., 1996. Razumov A.V. ``Frenet Frames and Toda Systems"

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Bookmark Recommend Us Enhance Your Site Browse Books ... Forums New! Help Keyword Title Author ISBN Welcome Guest [Sign In] Searched in books for Elie Cartan books matched your search. Search took seconds. All Categories Mathematics Geometry General ... Add Review Geometry of Riemannian Spaces: Lie Groups; History, Frontiers and Applications Series By Elie Cartan Hardcover / Math Science Pr / August 1983 / 0915692341 List Price $85.00 / Similar to Geometry of Riemannian Spaces: Lie... Compare Prices Add To Wish List Details ... Add Review Riemannian Geometry in an Orthogonal Frame: From Lectures Delivered by Elie Cartan at the Sorbonne in 1926-27 (Illustrated) By Elie Cartan S. P. Finikov S.S. Chern (Other), Vladislav V. Goldberg (Translator) Hardcover / 300 Pages / World Scientific Pub Co Inc / May 2002 / 981024746X List Price $58.00 / Similar to Riemannian Geometry in an Orthogonal... Compare Prices Add To Wish List Details ... Add Review Riemannian Geometry in an Orthogonal Frame: From Lectures Delivered by Elie Cartan at the Sorbonne in 1926-27 (Illustrated) By Elie Cartan S.S. Chern

15. Cartan Elie Joseph Cartan By this stage his son, Henri, was making major contributionsto mathematics and Elie Cartan was able to build on theorems proved by http://www.hallym.ac.kr/~physics/reference/physicist/Cartan.html

Elie Joseph Cartan April 9 1869 - May 6 1951 Born Dolomieu, France. Died Paris, France. Welcome page Instructions Birthplace map Mathematicians of the day ... Previous (Chronologically) Next Chronological Index Previous ( Alphabetically) Next Alphabetical Index Cartan worked on continuous groups, Lie algebras, differential equations and geometry. His work achieves a synthesis between these areas. Cartan became a student at l'Ecole Normale in 1888 and obtained his doctorate in 1894. He lectured at Montpellier (1894-1896), Lyon (1896-1903), Nancy (1903-1909) and Paris (1909-1940). He had 4 children, one of them Henri Cartan was to produce brillant work in mathematics. Two others died tragically. Jean, a composer, died at the age of 25 while Louis, a physicist, was arrested by the Germans in 1942 and executed after 15 months in captivity. Cartan added greatly to the theory of continuous groups which had been initiated by Lie . His thesis (1894) contains a major contribution to Lie algebras where he completed the classification of the semisimple algebras which Killing had essentially found. He then turned to the theory of associative algebras and investigated the structure for these algebras over the real and complex field.

16. Editions Jacques Gabay - Elie CARTAN Translate this page Reprints Encyclopedie des sciences Mathematiques, Abel, Borel, Fourier, Galois,Gauss, Hilbert, Lagrange, Laplace, Maxwell, Molk, Newton, Poincare, http://www.gabay.com/sources/Liste_Bio.asp?NP=CARTAN Elie

17. Cartan Biography of elie cartan (18691951) elie cartan s mother was Anne Cottazand his father was Joseph cartan who was a blacksmith. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Cartan.html

Elie Joseph Cartan Born: Died: 6 May 1951 in Paris, France Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Elie Cartan 's mother was Anne Cottaz and his father was Joseph Cartan who was a blacksmith. The family were very poor and in late 19 th He married Marie-Louise Bianconi in 1903 and they had four children, one of them Henri Cartan was to produce brilliant work in mathematics. Two other sons died tragically. Jean, a composer, died of tuberculosis at the age of 25 while their son Louis was a member of the Resistance fighting in France against the occupying German forces. After his arrest in February 1943 the family received no further news but they feared the worst. Only in May 1945 did they learn that he had been beheaded by the Nazis in December 1943. By the time they received the news of Louis' murder by the Germans, Cartan was 75 years old and it was a devastating blow for him. Their fourth child was a daughter. Cartan worked on continuous groups

18. Cartan's Corner : Elie Cartan A brief biography of cartan and exposition of his work in applied topology. http://www22.pair.com/csdc/car/carfre2.htm

Elie Cartan Elie Cartan From 1899 to 1945, Elie Cartan , a son of a blacksmith, developed a set of extraordinary mathematical ideas that have yet to be fully exploited in the physical and technical sciences. This WWW site is dedicated to certain applications of Cartan's methods to problems of dissipative, radiative, irreversible systems. Although emphasis herein has been placed on hydrodynamic, thermodynamic, and electromagnetic applications, Cartan's techniques can be used on micro and cosmological scales as well. Cartan was the inventor of Spinors , spaces with Torsion , a champion of Projective Geometries , and the developer of a system of calculus called Exterior Differential Forms. This remarkable calculus goes beyond the geometrical limitations of Tensor Analysis with its restrictions to diffeomorphisms, for Cartan's exterior calculus has Topological content in both its irreducible (Pfaff dimension) representations, and in its harmonic components (deRham period integrals). Moreover, exterior differential forms are well behaved under functional substitution and the pullbacks with respect to maps that are not even homeomorphic. Therefore differential forms can be used to study topological evolution, where standard tensor methods on contravariant objects fail. The philosophy to be developed herein is that most visible physical measurements are recognitions of Topological Defects and that irreversibility and biological aging are expressions of Topological Evolution For some more history

19. Lycée Elie Cartan Formations, options et GRETA. http://www.ac-grenoble.fr/lycee/elie.cartan/

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20. References For Cartan References for the biography of elie cartan. JHC Whitehead, elie cartan,Obituary Notices of Fellows of the Royal Society of London 8 (1952). Articles http://www-groups.dcs.st-and.ac.uk/~history/References/Cartan.html

References for Elie Cartan Version for printing Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. available on the Web Books: M A Akivis and B Rosenfeld, Elie Cartan (1869-1951) (Providence R.I., 1993). R Debever (ed.), Elie Cartan-Albert Einstein : letters on absolute parallelism, 1929-1932 (Princeton, 1979). J H C Whitehead, Elie Cartan, Obituary Notices of Fellows of the Royal Society of London Articles: (Bucharest, 1975), 29-31. A Finzi, Obituary: Elie Cartan (Hebrew), Riveon Lematematika W V D Hodge, Obituary: Elie Cartan, J. London Math. Soc. A Jackson, Interview with Henri Cartan [b. 1904], Notices Amer. Math. Soc. A pdf version C. R. Acad. Sci. Paris A Lichnerowicz, Elie Cartan, (Bucharest, 1975), 21-28. S-S Chern and C Chevalley, Obituary: Elie Cartan and his mathematical work, Bull. Amer. Math. Soc. N Saltykow, La vie et l'oeuvre de Elie Cartan (Serbo-Croat), Bull. Soc. Math. Phys. Serbie Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR June 2004 School of Mathematics and Statistics University of St Andrews, Scotland

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