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Theory of Relativity, Geometry - Differential
Global Lorentzian Geometry, Second Edition, Vol. 202 by John K Beem K β€” book cover

Global Lorentzian Geometry, Second Edition, Vol. 202

by John K Beem K
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Overview

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.

Synopsis

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.

Mathematical Abstracts

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.

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Editorials

Mathematical Reviews

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 pseudoβ€”Riemannian geometry and/or general relativity will find this new edition both timely and valuable.

Mathematical Abstracts

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.

Booknews

The second edition studies Lorentzian geometry, the mathematical theory used in general relativity, and compares and contrasts it to Riemannian geometry. Some of the topics covered include: Lorentizian distance, space-time, completeness, geodesics, singularities, and the splitting problem in global Lorentzian geometry. The revised edition features new results on the general instability in the space of Lorentzian metrics for a given manifold of both geodesic completeness and geodesic incompleteness, and new material on geodesic connectability. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Book Details

Published
March 1, 1996
Publisher
Taylor & Francis, Inc.
Pages
656
Format
Hardcover
ISBN
9780824793241

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