José F. Escobar
Colombian mathematician (born 1954)
From Wikipedia, the free encyclopedia
José Fernando "Chepe" Escobar (born 20 December 1954, in Manizales, Colombia) was a Colombian mathematician known for his work on differential geometry and partial differential equations. He was a professor at Cornell University.[1][2] He contributed to the solution of the Yamabe problem on manifolds with boundary.
IMPA (M.S.)
University of Valle (B.S.)
José F. Escobar | |
|---|---|
| Born | December 20, 1954 Manizales, Colombia |
| Died | January 3, 2004 (aged 49) |
| Education | University of California, Berkeley (Ph.D.) IMPA (M.S.) University of Valle (B.S.) |
| Known for | Boundary Yamabe problem |
| Awards | Presidential Faculty Fellowship (1992) |
| Scientific career | |
| Fields | Differential geometry Partial differential equations |
| Institutions | Cornell University |
| Richard Schoen | |
Doctoral students | Fernando Codá Marques |
Education and career
He completed his mathematical undergraduate program at Universidad del Valle, Colombia. He received a scholarship that permitted him to do a master in science studies at the Instituto Nacional de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro, Brazil.[3]
Escobar obtained his Ph.D. from the University of California, Berkeley in 1986, under the supervision of Richard Schoen.[4] In his thesis he solved the problem known as the "boundary Yamabe problem", that had been previously settled only for the case of manifolds without boundary.[2]
He died from cancer on 3 January 2004, at the age 49.[2]
Mathematician Fernando Codá Marques was a Ph.D. student of his.[4]
Recognition
Among the awards he received for his work are the Alfred P. Sloan Doctoral Dissertation Fellowship (1985-86) and the Presidential Faculty Fellowship (1992).[5]
In 2016, the Colombian Mathematical Society established the Premio José Fernando Escobar for investigation in mathematics.[6]
Selected publications
Research articles
- "The Yamabe problem on manifolds with boundary", Journal of Differential Geometry, 1992. https://doi.org/10.4310/jdg/1214447805
- "Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary", Annals of Mathematics, 1992. https://doi.org/10.2307/2946545
- with Richard M. Schoen: "Conformal metrics with prescribed scalar curvature", Inventiones mathematicae, 1986. https://doi.org/10.1007/BF01389071
- "Sharp constant in a Sobolev trace inequality", Indiana University Mathematics Journal, 1988. https://www.jstor.org/stable/24895334
- "Uniqueness theorems on conformal deformation of metrics, Sobolev inequalities, and an eigenvalue estimate", Communications on Pure and Applied Mathematics, 1990. https://doi.org/10.1002/cpa.3160430703
Books
- Topics in PDEs̕ and Differential Geometry, Universidade Federal de Goiânia, 2002 [7]
- Some Variational Problems in Geometry, Instituto Nacional de Matemática Pura e Aplicada, 2000
