Properties of the Dirac spectrum on three dimensional lens spaces
Differential Geometry
2015-08-17 v2 Number Theory
Abstract
We present a spectral rigidity result for the Dirac operator on lens spaces. More specifically, we show that each homogeneous lens space and each three dimensional lens space with prime is completely characterized by its Dirac spectrum in the class of all lens spaces.
Keywords
Cite
@article{arxiv.1504.03121,
title = {Properties of the Dirac spectrum on three dimensional lens spaces},
author = {Sebastian Boldt},
journal= {arXiv preprint arXiv:1504.03121},
year = {2015}
}