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Semi-Riemannian geometry with applications to relativity

This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For...

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Bibliographic Details
Main Author: O'Neill, Barrett
Format: eBook
Language:English
Published: New York Academic Press 1983, 1983
Series:Pure and applied mathematics
Subjects:
Topological Spaces: Riemannian Manifolds
Calculus Of Tensors / Http://id.loc.gov/authorities/subjects/sh85018808
Geometry, Riemannian / Fast / (ocolc)fst00940940
Variétés (mathématiques)
Calcul Tensoriel
Geometria / Larpcal
Riemann-vlakken / Gtt
Relativité (physique)
Geometry, Riemannian / Http://id.loc.gov/authorities/subjects/sh85054159
Manifolds / Gtt
Tensoren / Gtt
Relativity (physics) / Fast / (ocolc)fst01093604
Relativiteitstheorie / Gtt
Mathematics / Essays / Bisacsh
Géométrie De Riemann
Relativity (physics) / Http://id.loc.gov/authorities/subjects/sh85112497
Calculus Of Tensors / Fast / (ocolc)fst00844137
Manifolds (mathematics) / Http://id.loc.gov/authorities/subjects/sh85080549
Mathematics / Reference / Bisacsh
Manifolds (mathematics) / Fast / (ocolc)fst01007726
Mathematics / Pre-calculus / Bisacsh
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
Table of Contents:
  • Includes bibliographical references (pages 456-457) and index
  • Manifold Theory. Tensors. Semi-Riemannian Manifolds. Semi-Riemannian Submanifolds. Riemannian and Lorenz Geometry. Special Relativity. Constructions. Symmetry and Constant Curvature. Isometries. Calculus of Variations. Homogeneous and Symmetric Spaces. General Relativity. Cosmology. Schwarzschild Geometry. Causality in Lorentz Manifolds. Fundamental Groups and Covering Manifolds. Lie Groups. Newtonian Gravitation

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