Add to ORKGIn this paper, we examine the examples of isospectral but non-isometric Riemannian manifolds given by Milnor, Ikeda, and Vigneras. Of these, only Milnor\u27s example is accounted for by Sunada\u27s method of constructing isospectral manifolds, and even then only as an unnatural construction
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...
We show that the evolution of isoparametric hypersurfaces of Riemannian manifolds by the mean curvat...
The question whether one can recover the shape of a geometric object from its Laplacian spectrum (‘h...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
INTRODUCTION These notes are the written (and slightly expanded) version of a short graduate course ...
Abstract:\ua0 Flat tori are among the only types of Riemannian manifolds for which the Laplace eigen...
The method of torus actions developed by the first and third authors yields examples of isospectral,...
Die Spektralgeometrie befasst sich mit der Frage, welche geometrischen Eigenschaften eines Raums dur...
Isomanifolds are the generalization of isosurfaces to arbitrary dimension and codimension, i.e. subm...
ABSTRACT. Revisiting a construction due to Vignéras, we exhibit small pairs of orbifolds and man-if...
We consider an Archimedean analogue of Tate's conjecture, and verify the conjecture in the examples ...
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...
Die Spektralgeometrie befasst sich mit der Frage, welche geometrischen Eigenschaften eines Raums dur...
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...
We show that the evolution of isoparametric hypersurfaces of Riemannian manifolds by the mean curvat...
The question whether one can recover the shape of a geometric object from its Laplacian spectrum (‘h...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
INTRODUCTION These notes are the written (and slightly expanded) version of a short graduate course ...
Abstract:\ua0 Flat tori are among the only types of Riemannian manifolds for which the Laplace eigen...
The method of torus actions developed by the first and third authors yields examples of isospectral,...
Die Spektralgeometrie befasst sich mit der Frage, welche geometrischen Eigenschaften eines Raums dur...
Isomanifolds are the generalization of isosurfaces to arbitrary dimension and codimension, i.e. subm...
ABSTRACT. Revisiting a construction due to Vignéras, we exhibit small pairs of orbifolds and man-if...
We consider an Archimedean analogue of Tate's conjecture, and verify the conjecture in the examples ...
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...
Die Spektralgeometrie befasst sich mit der Frage, welche geometrischen Eigenschaften eines Raums dur...
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...
We show that the evolution of isoparametric hypersurfaces of Riemannian manifolds by the mean curvat...
The question whether one can recover the shape of a geometric object from its Laplacian spectrum (‘h...