Thierry Aubin | |
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Thierry Aubin in 1976
(photo by George Bergman) |
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Born | 6 May 1942 |
Died | 21 March 2009 | (aged 66)
Nationality | France |
Fields | Mathematics |
Institutions | Pierre and Marie Curie University |
Doctoral advisor | André Lichnerowicz |
Doctoral students |
Philippe Delanoe Zindine Djadli Emmanuel Hebey Michel Vaugon |
Thierry Aubin (6 May 1942 – 21 March 2009) was a French mathematician who worked at the Centre de Mathématiques de Jussieu, and was a leading expert on Riemannian geometry and non-linear partial differential equations. His fundamental contributions to the theory of the Yamabe equation led, in conjunction with results of Trudinger and Schoen, to a proof of the Yamabe Conjecture: every compact Riemannian manifold can be conformally rescaled to produce a manifold of constant scalar curvature. Along with Yau, he also showed that Kähler manifolds with negative first Chern classes always admit Kähler–Einstein metrics, a result closely related to the Calabi conjecture. The latter result provides the largest class of known examples of compact Einstein manifolds.
Aubin was a visiting scholar at the Institute for Advanced Study in 1979. He was elected to the Académie des sciences in 2003.