Global Lorentzian Geometry
Global Lorentzian Geometry
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DOI：
10.1201/9780203753125
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发表时间：
1981-07
期刊：
影响因子：
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通讯作者：
J. Beem;P. Ehrlich;Kevin Easley
中科院分区：
文献类型：
--
作者：
J. Beem;P. Ehrlich;Kevin Easley
介绍-洛伦兹几何中的黎曼主题连接和曲率洛伦兹流形和因果性洛伦兹距离时空的例子完备性和可拓性完备性和不完备性的稳定性最大测地线和因果不连通时空洛伦兹流形上的洛伦兹切割轨迹莫尔斯指数理论整体洛伦兹几何奇点引力平面波空间的一些结果乘以整体洛伦兹几何中的分裂问题。附录：Jacobi场和洛仑兹流形的Toponogov定理，从Jacobi到Riccati，再到Raychaudhuri方程- Jacobi张量场和指数映射。
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.