Inégalité isopérimétrique en dimension 3 d'après B. Kleiner
Inégalité isosystolique pour la bouteille de Klein.
Inégalités isopérimétriques pour l'équation de la chaleur et application à l'estimation de quelques invariants
Inégalités isosystoliques conformes.
Inégalités isosystoliques conformes
Inequality for Ricci curvature of certain submanifolds in locally conformal almost cosymplectic manifolds.
Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature.
We show how an operation of inf-convolution can be used to approximate convex functions with C1 smooth convex functions on Riemannian manifolds with nonpositive curvature (in a manner that not only is explicit but also preserves some other properties of the original functions, such as ordering, symmetries, infima and sets of minimizers), and we give some applications.
Injectivity radius and low eigenvalues of hyperbolic manifolds.
Instabile Minimalflächen in Riemannschen Mannigfaltigkeiten nichtpositver Schnittkrümmung.
Integral formulae for a Riemannian manifold with two orthogonal distributions
We obtain a series of new integral formulae for a distribution of arbitrary codimension (and its orthogonal complement) given on a closed Riemannian manifold, which start from the formula by Walczak (1990) and generalize ones for foliations by several authors. For foliations on space forms our formulae reduce to the classical type formulae by Brito-Langevin-Rosenberg (1981) and Brito-Naveira (2000). The integral formulae involve the conullity tensor of a distribution, and certain components of the...
Integrals of Subharmonic Functions on Manifolds of Nonnegative Curvature.
Interaction of Tubes and Spheres.
Introduction aux travaux de Fukaya
Invariance of -natural metrics on linear frame bundles
In this paper we prove that each -natural metric on a linear frame bundle over a Riemannian manifold is invariant with respect to a lifted map of a (local) isometry of the base manifold. Then we define -natural metrics on the orthonormal frame bundle and we prove the same invariance result as above for . Hence we see that, over a space of constant sectional curvature, the bundle with an arbitrary -natural metric is locally homogeneous.
Invariants intégraux fonctionnels pour des équations aux dérivées partielles d'origine géométrique
Involution-invariant geodesics.
Isometric Immersions in Codimesion Two with Non Negative Curvature.
Isometric immersions of Riemannian products revisited.
Isometric Reflections with Respect to Submanifolds and the Ricci Operator of Geodesic Spheres.
Isometries of Riemannian and sub-Riemannian structures on three-dimensional Lie groups
We investigate the isometry groups of the left-invariant Riemannian and sub-Riemannian structures on simply connected three-dimensional Lie groups. More specifically, we determine the isometry group for each normalized structure and hence characterize for exactly which structures (and groups) the isotropy subgroup of the identity is contained in the group of automorphisms of the Lie group. It turns out (in both the Riemannian and sub-Riemannian cases) that for most structures any isometry is the...