Global Lorentzian Geometry, Second Edition /

"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, ge...

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Bibliographic Details
Main Author:	Beem, John K. (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	London : Taylor and Francis, 2017.
Edition:	Second edition.
Series:	Chapman & Hall/CRC Pure and Applied Mathematics
Subjects:	Geometry, Differential. General relativity (Physics) Géométrie différentielle. Relativité générale (Physique) Geometry, Differential Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Chapter 1 Introduction: Riemannian Themes in Lorentzian Geometry
chapter 2 Connections and Curvature
chapter 3 Eorentzpan Manifolds and Causality
chapter 4 Lorentzian Distance
chapter 5 Examples of Spacstimes
chapter 6 Completeness and Extendibiehty
chapter 7 Stability of Completeness and Incompleteness
chapter 8 Maximal Geodesics and Causally Disconnected Space-times
chapter 9 The Lorentzpan Cut Locus
chapter 10 Morse Index Theory on Lorentzian Manifolds
chapter 11 Some Results in Global Lorentzian Geometry
chapter 12 Singularities
chapter 13 Gravitational Plane Wave Space-Times
chapter 14 The Splitting Problem in Global Lorentzian Geometry.