# Handbook of Pseudo-Riemannian Geometry and Supersymmetry

Full-Text PDF (185 KB) | Book articles | Book details

#### 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