- 656 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Global Lorentzian Geometry
About this book
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.
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Yes, you can access Global Lorentzian Geometry by John K. Beem in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover Page
- Halftitle Page
- Title Page
- Copyright Page
- Contents
- Preface to the Second Edition
- Preface to the First Edition
- List of Figures
- 1. Introduction: Riemannian Themes in Lorentzian Geometry
- 2. Connections and Curvature
- 3. Lorentzian Manifolds and Causality
- 4. Lorentzian Distance
- 5. Examples of Space–times
- 6. Completeness and Extendibility
- 7. Stability of Completeness and Incompleteness
- 8. Maximal Geodesics and Causally Disconnected Space–times
- 9. The Lorentzian Cut Locus
- 10. Morse Index Theory on Lorentzian Manifolds
- 11. Some Results in Global Lorentzian Geometry
- 12. Singularities
- 13. Gravitational Plane Wave Space–times
- 14. The Splitting Problem in Global Lorentzian Geometry
- Appendix A. Jacobi Fields and Toponogov’s Theorem for Lorentzian Manifolds by Steven G. Harris
- Appendix B. From the Jacobi, to a Riccati, to the Raychaudhuri Equation: Jacobi Tensor Fields and the Exponential Map Revisited
- References
- List of Symbols
- Index