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Lp-spectrum of the Dirac operator on products with hyperbolic spaces

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Ammann, Bernd ; Grosse, Nadine
Date of publication of this fulltext: 27 Jun 2016 09:24


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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