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\(L^p\)-spectrum of the Dirac operator on products with hyperbolic spaces

  • Bernd Ammann
  • Nadine Große
Article

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.

Mathematics Subject Classification

58J50 34B27 

Notes

Acknowledgments

We thank an anonymous referee for many helpful comments.

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© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Fakultät für MathematikUniversität RegensburgRegensburgGermany
  2. 2.Mathematisches InstitutUniversität FreiburgFreiburgGermany

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