Isospectral metrics on weighted projective spaces
Differential Geometry
2012-06-21 v3 Spectral Theory
Abstract
We construct the first examples of families of bad Riemannian orbifolds which are isospectral with respect to the Laplacian but not isometric. In our case these are particular fixed weighted projective spaces equipped with isospectral metrics obtained by a generalization of Sch\"uth's version of the torus method.
Cite
@article{arxiv.1004.1360,
title = {Isospectral metrics on weighted projective spaces},
author = {Martin Weilandt},
journal= {arXiv preprint arXiv:1004.1360},
year = {2012}
}
Comments
29 pages, no figures; v3 with more detailed proofs in Section 3.1 and one corrected proof in Section 3.2