By: John K. Beem, Paul E. Ehrlich, Kevin L. Easley

Hardcover

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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.

"Praise for the previous edition. . . The global theory of Lorentzian geometry has grown up, during the last twenty years, and. . .[the authors] have given us an authoritative and highly readable treatment of the subject as it stands today." ---Bulletin of the American Mathematical Society ." . .an ambitious and welcome compendium of research in the field. The authors have demonstrated command of the literature and presented it with care. They write well, effectively exploiting the comparisons and contrasts to produce a readable text." ---Mathematical Reviews . . .and for the Second. . . "By substantially updating the material of the first edition, the authors have guaranteed that their book will assume in the contemporary literature the position it held upon its first appearance. . . . . .anyone interested in pseudo-Riemannian geometry and/or general relativity will find this new edition both timely and valuable." ---Mathematical Reviews "The enormous interest for spacetime differential geometry, especially with respect to its applications in general relativity, has prompted the authors to add new material reflecting the best achievements in the field. . . .a most valuable reference for anyone interested in global Lorentzian geometry.the selfcontained character of this book and the excellent organization of the material make it a perfect source for a graduate course." ---Mathematical Abstracts

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.

ISBN: 9780824793241
ISBN-10: 0824793242
Series: Pure and Applied Mathematics (M. Dekker)
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 656
Published: March 1996
Publisher: MARCEL DEKKER INC
Dimensions (cm): 23.571 x 15.977  x 4.521
Weight (kg): 1.04