On the isospectral orbifold–manifold problem for nonpositively curved locally symmetric spaces
Abstract
An old problem asks whether a Riemannian manifold can be isospectral to a Riemannian orbifold with nontrivial singular set. In this short note we show that under the assumption of Schanuel's conjecture in transcendental number theory, this is impossible whenever the orbifold and manifold in question are length-commensurable compact locally symmetric spaces of nonpositive curvature associated to simple Lie groups.
Repository Citation
Linowitz, Benjamin, and Jeffrey S. Meyer. 2017. "On the isospectral orbifold–manifold problem for nonpositively curved locally symmetric spaces." Geometriae Dedicata 188(1): 165-169.
Publisher
Springer Verlag
Publication Date
6-1-2017
Publication Title
Geometriae Dedicata
Department
Mathematics
Document Type
Article
DOI
https://dx.doi.org/10.1007/s10711-016-0210-0
Keywords
Lattices, Spectra
Language
English
Format
text
COinS
