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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 Authors: O'Neill, Barrett. (Author)
Corporate Authors: Elsevier Science & Technology.
Published: Academic Press,
Publisher Address: New York :
Publication Dates: 1983.
Literature type: eBook
Language: English
Series: Pure and applied mathematics ; 103
Subjects:
Geometry, Riemannian.
Manifolds (Mathematics)
Calculus of tensors.
Relativity (Physics)
Riemann, Ge ome trie de.
Varie te s (Mathe matiques)
Calcul tensoriel.
Relativite (Physique)
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
MATHEMATICS > Essays.
Riemann-vlakken.
Tensoren.
Relativiteitstheorie.
Manifolds.
Geometria.
Topological spaces: Riemannian manifolds
Electronic books.
Online Access: http://www.sciencedirect.com/science/bookseries/00798169/103
Summary: 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.
Carrier Form: 1 online resource (xiii, 468 pages).
Bibliography: Includes bibliographical references (pages 456-457) and index.
ISBN: 9780080570570
0080570577
Index Number: QA3
CLC: O186.12
Contents: 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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