Orbifold finiteness under geometric and spectral constraints
Differential Geometry
2020-01-23 v2 Spectral Theory
Abstract
The class of Riemannian orbifolds of dimension n defined by a lower bound on the sectional curvature and the volume and an upper bound on the diameter has only finitely many members up to orbifold homeomorphism. Furthermore, any class of isospectral Riemannian orbifolds with a lower bound on the sectional curvature is finite up to orbifold homeomorphism.
Cite
@article{arxiv.1401.0739,
title = {Orbifold finiteness under geometric and spectral constraints},
author = {John Harvey},
journal= {arXiv preprint arXiv:1401.0739},
year = {2020}
}
Comments
11 pages. V2 only adds the following comment: that the material in this article has now been inserted, without substantial changes, in arXiv:1401.0531, which has now been published in the Journal of Geometric Analysis