1 Structure de contact et équations aux dérivées partielles d'après V. V. Lychagin
3 Classification des plongements isotropes d'après A. Weinstein
A conformally invariant sphere theorem in four dimensions
A counterexample to smooth leafwise Hodge decomposition for general foliations and to a type of dynamical trace formulas
We construct a two dimensional foliation with dense leaves on the Heisenberg nilmanifold for which smooth leafwise Hodge decomposition does not hold. It is also shown that a certain type of dynamical trace formulas relating periodic orbits with traces on leafwise cohomologies does not hold for arbitrary flows.
A fully nonlinear version of the Yamabe problem on manifolds with boundary
We propose to study a fully nonlinear version of the Yamabe problem on manifolds with boundary. The boundary condition for the conformal metric is the mean curvature. We establish some Liouville type theorems and Harnack type inequalities.
A minimization problem arising from prescribing scalar curvature functions.
Algebraically independent generators of invariant differential operators on a symmetric cone.
An expression of classical dynamics
An -isolation theorem for Yang-Mills fields
Bifurcation for Monge-Ampère Equations on Flat Tori.
Branching of asymptotics for elliptic operators on manifolds with edges
Certain sufficient conditions to be a complex projective space
Codazzi tensors and equations of Monge-Ampère type on compact manifolds of constant sectional curvature.
Compact manifolds with exceptional holonomy.
Compactness and global estimates for the geometric Paneitz equation in high dimensions.
Comportement asymptotique de la fonction spectrale de l'opérateur de Laplace-Beltrami sur une variété ayant des singularités coniques
Confomal deformations on a noncompact Riemannian manifold.
Conformally bending three-manifolds with boundary
Given a three-dimensional manifold with boundary, the Cartan-Hadamard theorem implies that there are obstructions to filling the interior of the manifold with a complete metric of negative curvature. In this paper, we show that any three-dimensional manifold with boundary can be filled conformally with a complete metric satisfying a pinching condition: given any small constant, the ratio of the largest sectional curvature to (the absolute value of) the scalar curvature is less than this constant....
Conformally flat manifolds, Kleinian groups and scalar curvature.
Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature bounded below