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Semi-Riemannia n Geometry with Applications to Relativity: Volume 103 by O'Neill
AlibrisBooks
(474668)
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- Book Title
- Semi-Riemannian Geometry with Applications to Relativity: Volume
- Publication Date
- 1983-06-01
- Pages
- 488
- ISBN
- 9780125267403
關於產品
Product Identifiers
Publisher
Elsevier Science & Technology
ISBN-10
0125267401
ISBN-13
9780125267403
eBay Product ID (ePID)
61574
Product Key Features
Number of Pages
468 Pages
Publication Name
Semi-Riemannian Geometry with Applications to Relativity
Language
English
Subject
Geometry / General
Publication Year
1983
Type
Textbook
Subject Area
Mathematics
Series
Pure and Applied Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.5 in
Item Weight
27.3 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Edition Number
103
Intended Audience
Scholarly & Professional
LCCN
82-013917
Dewey Edition
19
Series Volume Number
Volume 103
Volume Number
Volume 103
Illustrated
Yes
Dewey Decimal
516.3/73
Table Of Content
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.
Synopsis
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.
LC Classification Number
QA649
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