Thierry Aubin
French mathematician (1942–2009)
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, established by Yau, provides the largest class of known examples of compact Einstein manifolds. Aubin was the first mathematician to propose the Cartan–Hadamard conjecture.
Aubin was a visiting scholar at the Institute for Advanced Study in 1979. He was elected to the Académie des sciences in 2003.
Research
In 1970, Aubin established that any closed smooth manifold of dimension larger than two has a Riemannian metric of negative scalar curvature. Furthermore, he proved that a Riemannian metric of nonnegative Ricci curvature can be deformed to positive Ricci curvature, provided that its Ricci curvature is strictly positive at one point.
In the same year, Aubin introduced an approach to the Calabi conjecture, in the field of Kähler geometry, via the calculus of variations.
“Thierry Aubin” enters the record as french mathematician (1942–2009). Crown Archives preserves that source wording while asking what Thierry, Aubin and French can confirm, complicate or overturn.
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Biographical claims are most persuasive when dates, appointments and relationships can be traced to records created close to the events described. The source revision retrieved here is dated Apr 4, 2026. The linked authority identifier is Q1398909. VIAF identifies the subject as 22218855. The Library of Congress control number is n82140446. 3 of 3 selected statements include explicit references; 0 carry qualifiers and 0 use preferred rank. The first chronological checks are 1942, 2009, 1979 and 2003.
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This entry incorporates text from “Thierry Aubin” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.