$L^p$-spectrum of the Dirac operator on products with hyperbolic spaces
Differential Geometry
2014-05-13 v1 Spectral Theory
Abstract
We study the -spectrum of the Dirac operator on complete manifolds. One of the main questions in this context is whether this spectrum depends on . As a first example where -independence fails we compute explicitly the -spectrum for the hyperbolic space and its product with compact spaces.
Cite
@article{arxiv.1405.2830,
title = {$L^p$-spectrum of the Dirac operator on products with hyperbolic spaces},
author = {Bernd Ammann and Nadine Große},
journal= {arXiv preprint arXiv:1405.2830},
year = {2014}
}
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29 pages