Semigroup properties for the second fundamental form.
Semiholonomic jets and induced modules in Cartan geometry calculus
The famous Erlangen Programme was coined by Felix Klein in 1872 as an algebraic approach allowing to incorporate fixed symmetry groups as the core ingredient for geometric analysis, seeing the chosen symmetries as intrinsic invariance of all objects and tools. This idea was broadened essentially by Elie Cartan in the beginning of the last century, and we may consider (curved) geometries as modelled over certain (flat) Klein’s models. The aim of this short survey is to explain carefully the basic...
Separable -harmonic functions in a cone and related quasilinear equations on manifolds
Sharp borderline Sobolev inequalities on compact Riemannian manifolds.
Sharp Inequalities and Geometric Manifolds.
Sobolev-Kantorovich Inequalities
In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich-Wasserstein distance to μ. This article emphasizes this family of interpolation inequalities, called Sobolev-Kantorovich inequalities, which may be established in the rather large setting of non-negatively curved (weighted) Riemannian manifolds by means...
Solution explicite de l'équation des ondes dans un espace symétrique de type non compact de rang 1
Solving -Laplacian equations on complete manifolds.
Some differential operators connected with quasiconformal deformations on manifold
Some existence results for the scalar curvature problem via Morse theory
We prove existence of positive solutions for the equation on , arising in the prescribed scalar curvature problem. is the Laplace-Beltrami operator on , is the critical Sobolev exponent, and is a small parameter. The problem can be reduced to a finite dimensional study which is performed with Morse theory.
Some new conformal covariants.
Some progress in conformal geometry.
Some regularity theorems in riemannian geometry
Spectral Geometry for Certain Noncompact Riemannian Manifolds.
Spectrum and Holonomy of the Line Bundle over the Sphere.
Spectrum of a compact flat manifold.
Sur la mulitplicité de la première valeur propre non nulle du Laplacien.
Surfaces in three-dimensional Lie groups.
Symétrisation d'inéquations élliptiques et applications géométriques.
Symplectic Killing spinors
Let be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection . Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main object of this paper. We derive a necessary condition which has to be satisfied by a symplectic Killing spinor field. Using this condition one may easily...