Global Lorentzian Geometry, Second Edition

2. Auflage 1996
ISBN: 978-0-8247-9324-1
Verlag: Routledge

Buch, Englisch, 656 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 1201 g

Reihe: Chapman & Hall/CRC Pure and Applied Mathematics

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.

Autoren/Hrsg.

Beem, John K.

Beem, Beem K.

Beem

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation

Inhaltsverzeichnis

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.

Über Autor(innen)

Beem, John K.