David Gregory Ebin
David Gregory Ebin (born October 24, 1942 in Los Angeles ) is an American mathematician who studies differential geometry.
Ebin studied at Harvard University with a bachelor's degree in 1964 and received his PhD in 1967 with Isadore Singer at the Massachusetts Institute of Technology (On the space of Riemannian metrics). In 1968 he became a Lecturer at the University of California, Berkeley , and in 1969 Associate Professor and 1978 Professor at the State University of New York at Stony Brook (SUNY).
In 1983/84 and 1991/92 he was visiting professor at UCLA, in 1971 lecturer at Ecole Polytechnique and the University of Paris VII and in 1976 member of the Courant Institute in New York. He is a fellow of the American Mathematical Society .
He deals with differential geometry, infinite-dimensional manifolds (in hydrodynamics and in his treatment of the space of Riemannian metrics), nonlinear partial differential equations and mathematical hydrodynamics (including weakly compressible fluids) and elastodynamics. In his dissertation, he examined the space of Riemannian metrics on a compact manifold and gave this infinite-dimensional space a Riemannian structure.
In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( On the motion of incompressible fluids with Jerrold Marsden ).
He has been married to Barbara Burkhard since 1971 and has four children.
Fonts
- with Jeff Cheeger : Comparison theorems in Riemannian Geometry, North Holland 1975
- On the space of Riemannian metrics, Bulletin of the AMS, Vol. 74, 1968, pp. 1001-1003, Project Euclid
- The space of Riemannian Metrics, in SS Chern, Stephen Smale (Ed.), Global Geometry, AMS 1970
- with Jerrold Marsden: Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid, Bulletin of the American Mathematical Society, Volume 75, 1969, pp. 962-967
- with Jerrold Marsden, Arthur E. Fischer: Diffeomorphism groups, hydrodynamics and relativity. In: Proceedings of the 13th Biennial Seminar of Canadian Mathematical Congress, Canadian Mathematical Congress 1972, pp. 135-279
- with Jerrold Marsden: Groups of diffeomorphisms and the motion of an incompressible fluid, Annals of Mathematics, Volume 92, 1970, pp. 102-163
Individual evidence
- ↑ Life data according to American Men and Women of Science, Thomson Gale 2004
- ↑ David Gregory Ebin in the Mathematics Genealogy Project (English)
| personal data | |
|---|---|
| SURNAME | Ebin, David Gregory |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | October 24, 1942 |
| PLACE OF BIRTH | los Angeles |