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The Dirac operator on Lorentzian spin manifolds and the Huygens property

โœ Scribed by Helga Baum

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
954 KB
Volume
23
Category
Article
ISSN
0393-0440

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โœฆ Synopsis

We consider the Dirac operator D of a Lorentzian spin manifold of even dimension n > 4. We prove that the square D 2 of the Dirac operator on plane wave manifolds and the shifted operator D 2 -K on Lorentzian space forms of constant sectional curvature K are of Huygens type. Furthermore, we study the Huygens property for coupled Dirac operators on four-dimensional Lorentzian spin manifolds.

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