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Upper bounds for the first eigenvalue of the Dirac operator on surfaces

  • Published:1999-04 Issue:1 Volume:30 Page:1-22
  • ISSN:0393-0440
  • Container-title:Journal of Geometry and Physics
  • language:en
  • Short-container-title:Journal of Geometry and Physics

Author:

Agricola Ilka,Friedrich Thomas

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference13 articles.

1. Spin-Strukturen und das Spektrum des Dirac-Operators;Ammann;Dissertation,1998

2. Lower eigenvalue estimates for Dirac operators;Bär;Math. Ann.,1992

3. Upper eigenvalue estimates for Dirac operators;Bär;Ann. Glob. Anal. Geom.,1992

4. Extrinsic bounds for eigenvalues of the Dirac operator;Bär;Ann. Glob. Anal. Geom.,1998

5. Spin-Strukturen und Dirac-Operatoren über Pseudo-Riemannschen Mannigfaltigkeiten;Baum,1981

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2. A Variational Formulation for Dirac Operators in Bounded Domains. Applications to Spectral Geometric Inequalities;Communications in Mathematical Physics;2021-07-23

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4. Boundary value problems for noncompact boundaries of Spincmanifolds and spectral estimates;Proceedings of the London Mathematical Society;2014-06-27

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