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Geometriae Dedicata

, Volume 41, Issue 1, pp 103–107 | Cite as

The dirac fundamental tone of the hyperbolic space

  • Christian Bär
Article
  • 27 Downloads

Abstract

We show that the fundamental tone of D2 is zero, where D is the classical Dirac operator on the hyperbolic space.

AMS subject Classifications (1991)

53A50 58G25 

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References

  1. [B]
    Bär, C., ‘Das Spektrum von Dirac-Operatoren’, Doktorarbeit, Bonn 1990, (to appear in Bonner Mathematische Schriften).Google Scholar
  2. [Bu]
    Bunke, U., ‘The spectrum of the Dirac operator on the hyperbolic space’, Universität Greifswald (Preprint).Google Scholar
  3. [CGLS]
    Cahen, M., Gutt, S., Lemaire, L. and Spindel, P., ‘Killing spinors’, Bull. Soc. Math. Belg. 38 (1986), 75–102.Google Scholar
  4. [Sul]
    Sulanke, S., ‘Berechnung des Spektrums des Quadrates des Dirac-Operators auf der Sphäre’, Doktorarbeit, Humboldt-Universität, Berlin, 1978.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Christian Bär
    • 1
  1. 1.Mathematisches Institut der Universität BonnBonn 1Germany

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