arXiv Analytics

Sign in

arXiv:2004.01698 [math.DG]AbstractReferencesReviewsResources

On Eigenvalues of Geometrically Finite Hyperbolic Manifolds with Infinite Volume

Xiaolong Hans Han

Published 2020-04-03Version 1

In this paper we relate the eigenvalues of Laplace_Beltrami operator on an oriented geometrically finite hyperbolic manifold with infinite volume and dimension at least 3 to the eigenvalues of some neighborhood of the thick part of its convex core.

Related articles: Most relevant | Search more
arXiv:1502.05018 [math.DG] (Published 2015-02-17)
Renormalized volume and the volume of the convex core
arXiv:math/9807050 [math.DG] (Published 1998-07-10)
Eigenvalues of conformally invariant operators on spheres
arXiv:math/0207045 [math.DG] (Published 2002-07-04)
Eigenvalues and Holonomy