Lp-spectrum of the Dirac operator on products with hyperbolic spaces
by
Bernd Ammann, Nadine Große


Lp-spectrum of the Dirac operator on products with hyperbolic spaces (.pdf)

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Calc. Var. Partial Differential Equations 55 (2016), 55:127.

Abstract

We study the Lp-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 Lp-spectrum for the hyperbolic space and its product with compact spaces.
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The Paper was written on 12.5.2014
Last update 12.5.2014