The Dirac operator on Lorentzian spin manifolds and the Huygens property

[摘要] We consider the Dirac operator D of a Lorentzian spin manifold of even dimension n greater than or equal to 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.

[发布日期] 1997-08-01

[关键词] Dirac operator;Lorentzian spin manifolds;Huygens principle