Isospectral finiteness on convex cocompact hyperbolic 3-manifolds
Geometric Topology
2017-01-09 v2
Abstract
In this paper we show that a given set of lengths of closed geodesics, there are only finitely many convex cocompact hyperbolic 3-manifolds with that specified length spectrum, homotopy equivalent to a given 3-manifold without a handlebody factor, up to orientation preserving isometries.
Cite
@article{arxiv.1612.04594,
title = {Isospectral finiteness on convex cocompact hyperbolic 3-manifolds},
author = {Gilles Courtois and Inkang Kim},
journal= {arXiv preprint arXiv:1612.04594},
year = {2017}
}
Comments
25 pages, one inaccurate example is removed