Isoparametric Functions on Riemannian Manifolds. I.
Isoparametric Hypersurfaces in the Pseudo-Riemannian Space Forms.
Isoparametric Hypersurfaces with Four or Six Distinct Principal Curvatures. Necessary Conditions on the Multiplicities.
Isoparametric hypersurfaces with less than four principal curvatures in a sphere
We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.
Isoparametric triple systems of FKM-Type II.
Isoparametrische Hyperflächen in Sphären I.
Isoparametrische Hyperflächen in Sphären. II. Über die Zerlegung der Sphäre in Ballbündel.
Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
Isoperimetric Constants of Manifolds with Small Handles.
Isoperimetric inequalities for parametric variational problems
Isoperimetric inequalities on minimal submanifolds of space forms.
Isoperimetric problems on the sphere and on surfaces with density.
Isoperimetric profile and uniqueness for Neumann problems
Isopérimétrie pour les groupes et les variétés.
Dans cet article, nous proposons une approche très directe de différents inégalités isopérimétriques.
Isoptics of a closed strictly convex curve. - II
Isoptics of pairs of nested closed strictly convex curves and Crofton-type formulas.
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 of the Lagrangian Grassmannians
We study the special Lagrangian Grassmannian , with , and its reduced space, the reduced Lagrangian Grassmannian . The latter is an irreducible symmetric space of rank and is the quotient of the Grassmannian under the action of a cyclic group of isometries of order . The main result of this paper asserts that the symmetric space possesses non-trivial infinitesimal isospectral deformations. Thus we obtain the first example of an irreducible symmetric space of arbitrary rank , which is...
Isospectral deformations on Riemannian manifolds which are diffeomorphic to compact Heisenberg manifolds.