Constructing Geometrically Equivalent Hyperbolic Orbifolds
Geometric Topology
2017-03-22 v2 Differential Geometry
Abstract
In this paper, we construct families of nonisometric hyperbolic orbifolds that contain the same isometry classes of nonflat totally geodesic subspaces. The main tool is a variant of the well-known Sunada method for constructing length-isospectral Riemannian manifolds that handles totally geodesic submanifolds of multiple codimensions simultaneously.
Cite
@article{arxiv.1507.06708,
title = {Constructing Geometrically Equivalent Hyperbolic Orbifolds},
author = {D. B. McReynolds and Jeffrey S. Meyer and Matthew Stover},
journal= {arXiv preprint arXiv:1507.06708},
year = {2017}
}
Comments
Final version. To appear in Algebr. Geom. Topol