Semi-Riemannian Geometry With Applications to Relativity (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
488
Utgivningsdatum
1983-07-01
Förlag
Academic Press
Illustrationer
Ill.
Volymtitel
Volume 103
Dimensioner
245 x 165 x 35 mm
Vikt
960 g
Antal komponenter
1
Komponenter
52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam
ISSN
00798169
ISBN
9780125267403

Semi-Riemannian Geometry With Applications to Relativity

av Barrett O'Neill
(1 röst)
Inbunden,  Engelska, 1983-07-01
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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 many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.
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Övrig information

Barrett O'Neill is currently a Professor in the Department of Mathematics at the University of California, Los Angeles. He has written two other books in advanced mathematics.

Innehållsförteckning

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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