Ebin in the academic years 1983–1984 and 1991–1992 was a visiting professor at UCLA, in 1971 a docent at the École Polytechnique and the University of Paris VII, and in 1976 a member of the Courant Institute in New York. He was elected a Fellow of the American Mathematical Society in 2012.
His research deals with differential geometry, infinite-dimensional manifolds (in hydrodynamics and in his treatment of the space of Riemannian metrics), nonlinear partial differential equations, mathematical hydrodynamics (including slightly compressible fluids), and elastodynamics. He investigated in his dissertation the space of Riemannian metrics on a compact manifold and gave this infinite-dimensional space a Riemannian structure.
In 1970 he was, with Jerrold Marsden, an Invited Speaker with talk On the motion of incompressible fluids at the ICM in Nice.
Ebin is since 1971 married to Barbara Jean Ebin and has four children.
Selected publicationsedit
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
The space of Riemannian Metrics, in S. S. Chern, Stephen Smale (eds.), 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, vol. 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, vol. 92, 1970, pp. 102–163
Referencesedit
^biographical information from American Men and Women of Science, Thomson Gale 2004
david, gregory, ebin, born, october, 1942, angeles, american, mathematician, specializing, differential, geometry, ebin, received, 1964, from, harvard, university, bachelor, degree, 1967, from, massachusetts, institute, technology, under, isadore, singer, with. David Gregory Ebin born 24 October 1942 Los Angeles 1 is an American mathematician specializing in differential geometry Ebin received in 1964 from Harvard University his bachelor s degree and in 1967 his Ph D from Massachusetts Institute of Technology under Isadore Singer with thesis On the space of Riemannian metrics 2 From 1968 to 1969 Ebin was a lecturer at the University of California Berkeley He became in 1969 an associate professor and in 1978 a full professor at the Stony Brook University Ebin in the academic years 1983 1984 and 1991 1992 was a visiting professor at UCLA in 1971 a docent at the Ecole Polytechnique and the University of Paris VII and in 1976 a member of the Courant Institute in New York He was elected a Fellow of the American Mathematical Society in 2012 His research deals with differential geometry infinite dimensional manifolds in hydrodynamics and in his treatment of the space of Riemannian metrics nonlinear partial differential equations mathematical hydrodynamics including slightly compressible fluids and elastodynamics He investigated in his dissertation the space of Riemannian metrics on a compact manifold and gave this infinite dimensional space a Riemannian structure In 1970 he was with Jerrold Marsden an Invited Speaker with talk On the motion of incompressible fluids at the ICM in Nice Ebin is since 1971 married to Barbara Jean Ebin and has four children Selected publications editwith 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 The space of Riemannian Metrics in S S Chern Stephen Smale eds 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 vol 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 vol 92 1970 pp 102 163References edit biographical information from American Men and Women of Science Thomson Gale 2004 David Gregory Ebin at the Mathematics Genealogy Project Retrieved from https en wikipedia org w index php title David Gregory Ebin amp oldid 996546475, wikipedia, wiki, book, books, library,
