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Global Lorentzian geometry /
| Autor principal: | |
|---|---|
| Otros Autores: | , |
| Formato: | Libro |
| Lenguaje: | English |
| Publicado: |
New York :
Marcel Dekker,
c1996.
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| Edición: | 2nd ed. |
| Colección: | Monographs and textbooks in pure and applied mathematics ;
202 |
| Materias: |
Tabla de Contenidos:
- 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 space-times
- 14. The splitting problem in global Lorentzian geometry
- App. A. Jacobi fields and Toponogov's theorem for Lorentzian manifolds / Steven G. Harris
- App. B. From the Jacobi, to a Riccati, to the Raychaudhuri equation: Jacobi tensor fields and the exponential map revisited.