Robert Brown Gardner

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Robert Brown Gardner

Robert Brown Gardner (born February 27, 1939 in Tarrytown , New York , † May 5, 1998 ) was an American mathematician.

Gardner studied at Princeton University with a bachelor's degree in 1959, at Columbia University with a master's degree in 1960 and received his doctorate in 1965 at the University of California, Berkeley with SS Chern (differential geometric methods in partial differential equations). As a post-doctoral student he was at the Courant Institute of Mathematical Sciences of New York University and in 1967 Assistant Professor at Columbia University. In 1971 he became Associate Professor and 1977 Professor at the University of North Carolina at Chapel Hill .

In 1970/71 he was at the Institute for Advanced Study . He was also at MSRI , the Fields Institute and visiting professor at the TU Berlin (1970, 1988) and the University of Bonn.

He dealt with differential geometry in the successor of Élie Cartan , for example systems of external differential forms , their equivalence theory or their Repére Mobile (English moving frame ) method, with geometric theory of partial differential equations , the calculus of variations , submanifolds and integral geometry , invariant theory , control theory , geometric methods of Image analysis and Lie groups .

Robert L. Bryant is one of his PhD students .

Fonts

  • A differential geometric generalization of characteristics , Comm. Pure Appl. Math., Vol. 22, 1969, pp. 597-626
  • with Robert L. Bryant, SS Chern, HL Goldschmidt, Phillip Griffiths Exterior Differential Systems , MSRI Publ. 18, Springer Verlag 1991
  • Differential geometric methods interfacing control theory , in Differential geometric control theory , Progress in Mathematics 28, Birkhäuser 1983, pp. 117-180
  • New viewpoints in the geometry of submanifolds in , Bulletin AMS, Volume 83, 1977, pp. 1-35
  • Invariant Theory , Bulletin AMS, Volume 12, 1980, pp. 246-256
  • The method of equivalence and its applications , SIAM 1989

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personal data
SURNAME Gardner, Robert Brown
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH February 27, 1939
PLACE OF BIRTH Tarrytown
DATE OF DEATH May 5, 1998