Thierry Aubin
Encyclopedia
Thierry Aubin was a French
mathematician at Centre de Mathématiques de Jussieu who worked on Riemannian geometry
and non-linear partial differential equation
s. He showed
that Kaehler manifolds with negative first Chern class
es have Kähler–Einstein metrics, a result closely related to the Calabi conjecture
.
He was elected to the Académie des sciences in 2003.
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...
mathematician at Centre de Mathématiques de Jussieu who worked on Riemannian geometry
Riemannian geometry
Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric, i.e. with an inner product on the tangent space at each point which varies smoothly from point to point. This gives, in particular, local notions of angle, length...
and non-linear partial differential equation
Partial differential equation
In mathematics, partial differential equations are a type of differential equation, i.e., a relation involving an unknown function of several independent variables and their partial derivatives with respect to those variables...
s. He showed
that Kaehler manifolds with negative first Chern class
Chern class
In mathematics, in particular in algebraic topology and differential geometry, the Chern classes are characteristic classes associated to complex vector bundles.Chern classes were introduced by .-Basic idea and motivation:...
es have Kähler–Einstein metrics, a result closely related to the Calabi conjecture
Calabi conjecture
In mathematics, the Calabi conjecture was a conjecture about the existence of good Riemannian metrics on complex manifolds, made by and proved by ....
.
He was elected to the Académie des sciences in 2003.
Publications
- Nonlinear Analysis on Manifolds. Monge–Ampere Equations ISBN 0387907041
- A Course in Differential Geometry ISBN 082182709X
- Some Nonlinear Problems in Riemannian Geometry ISBN 3540607528