Nationality France | Role Mathematician Name Thierry Aubin | |
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Born 6 May 1942 ( 1942-05-06 ) Doctoral students Philippe DelanoeZindine DjadliEmmanuel HebeyMichel Vaugon Institution Pierre-and-Marie-Curie University Books Some Nonlinear Problems, Nonlinear analysis on manifolds, A course in differential geometry | ||
Doctoral advisor Andre Lichnerowicz | ||
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.