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

Ammann, Bernd ; Große, Nadine



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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