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Summary
Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.
Author Biography
John K. Beem is a Professor of Mathematics at the University of Missouri, Columbia.
Table of Contents
| 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" | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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