Global Lorentzian Geometry

ISBN: 9780824793241 出版年：2017 页码：656 Beem, John K Routledge

Introduction - Riemannian themes in Lorentzian geometry connections and curvature Lorentzian manifolds and causality Lorentzian distance examples of space-times completness and extendibility stability of completeness and incompleteness maximal geodesics and causally disconnected space-times the Lorentzian cut locus Morse index theory on Lorentzian manifolds some results in global Lorentzian geometry singularities gravitational plane wave space-times the splitting problem in global Lorentzian geometry. Appendices: Jacobi Fields and Toponogov's theorem for Lorentzian manifolds from the Jacobi, to a Riccati, to the Raychaudhuri equation - Jacobi Tensor Fields and the exponential map revisited.