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arXiv · 1405.2830

$L^p$-spectrum of the Dirac operator on products with hyperbolic spaces

Bernd Ammann·Nadine Große
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Abstract

We study the $L^p$-spectrum of the Dirac operator on complete manifolds. One of the main questions in this context is whether this spectrum depends on $p$. As a first example where $p$-independence fails we compute explicitly the $L^p$-spectrum for the hyperbolic space and its product with compact spaces.

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Bernd Ammann, Nadine Große. 2014-05-12. $L^p$-spectrum of the Dirac operator on products with hyperbolic spaces. https://arxiv.org/abs/1405.2830

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