Global Lorentzian Geometry
Seiten
1996
|
2nd edition
Crc Press Inc (Verlag)
978-0-8247-9324-1 (ISBN)
Crc Press Inc (Verlag)
978-0-8247-9324-1 (ISBN)
Intends to bridge the gap between modern differential geometry and the mathematical physics of general relativity. This text includes material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, and the generic condition.
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.
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.
Beem, John K.
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.
| Erscheint lt. Verlag | 8.3.1996 |
|---|---|
| Reihe/Serie | Chapman & Hall/CRC Pure and Applied Mathematics |
| Verlagsort | Bosa Roca |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 1370 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie | |
| ISBN-10 | 0-8247-9324-2 / 0824793242 |
| ISBN-13 | 978-0-8247-9324-1 / 9780824793241 |
| Zustand | Neuware |
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