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Annals of Global Analysis and Geometry

, Volume 19, Issue 3, pp 235–257 | Cite as

Eigenvalues of the Dirac Operator on Fibrations over S1

  • Margarita Kraus
Article

Abstract

We consider the Dirac operator on fibrations overS1 which have up to holonomy a warped product metric. Wegive lower bounds for the eigenvalues on M and if the Diracoperator on the typical fibre F has a kernel, we calculatethe corresponding part of the spectrum on M explicitly.

Moreover, we discuss the dependence of the spectrum of theholonomy and obtain bounds for the multiplicity of the eigenvalues.

Dirac operator fibration holonomy spectrum 

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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Margarita Kraus
    • 1
  1. 1.Fakultät für MathematikUniversität RegensburgRegensburgGermany

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