Thierry Aubin Scientist

Thierry Aubin (May 6, 1942 – March 21, 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 withresults of Trudinger and Schoen, to a proof of the Yamabe Conjecture: every compact Riemannian manifoldcan be conformally rescaled to produce a manifold of constant scalar curvature. Along with Yau, he also showedthat 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.