Handbook of Pseudo-Riemannian Geometry and Supersymmetry


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pp: 897–914

DOI: 10.4171/079-1/25

Linear wave equations on Lorentzian manifolds

Christian Bär[1]

(1) Universität Potsdam, Germany

We summarize the analytic theory of linear wave equations on globally hyperbolic Lorentzian manifolds.

Keywords: Globally hyperbolic Lorentzian manifold, wave equation, Green’s operator, fundamental solution, Cauchy problem, Cauchy hypersurface

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