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...
Isometry groups of singular spaces.
Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
Isoperimetric Constants of Manifolds with Small Handles.
Isopérimétrie pour les groupes et les variétés.
Dans cet article, nous proposons une approche très directe de différents inégalités isopérimétriques.
Isospectral Connections on Line Bundles.
Isospectral deformations of closed riemannian manifolds with different scalar curvature
We construct the first examples of continuous families of isospectral Riemannian metrics that are not locally isometric on closed manifolds , more precisely, on , where is a torus of dimension and is a sphere of dimension . These metrics are not locally homogeneous; in particular, the scalar curvature of each metric is nonconstant. For some of the deformations, the maximum scalar curvature changes during the deformation.
Isospectral deformations on Riemannian manifolds which are diffeomorphic to compact Heisenberg manifolds.
Isospectral Riemann surfaces
We construct new examples of compact Riemann surfaces which are non isometric but have the same spectrum of the Laplacian. Examples are given for genus and for all . In a second part we give examples of isospectral non isometric surfaces in which are realizable by paper models.
Isotropic curvature: A survey
We discuss the notion of isotropic curvature of a Riemannian manifold and relations between the sign of this curvature and the geometry and topology of the manifold.