Semi-Riemannian Geometry With Applications to Relativity (häftad)

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Differentialgeometri & riemannsk geometri

Format: Inbunden (Hardback)
Språk: Engelska
Serie: Pure and Applied Mathematics (del 103)
Antal sidor: 488
Utgivningsdatum: 1983-07-29
Förlag: Elsevier Science Publishing Co Inc
Dimensioner: 245 x 165 x 35 mm
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Antal komponenter: 1
ISSN: 00798169
ISBN: 9780125267403

Semi-Riemannian Geometry With Applications to Relativity

Name: Semi-Riemannian Geometry With Applications to Relativity
Price: 687.00 SEK
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Rating: 5 (1 reviews)
Author: Barrett O'Neill
ISBN: 9780125267403

av Barrett O'Neill

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Inbunden, Engelska, 1983-07-29

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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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Elementary Differential Geometry, Revised 2nd Edition

Barrett O'Neill, Barrett O'Neill

Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition, provides an introduction to the geometry of curves and surfaces. The Second Edition...

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Elementary Differential Geometry

Barrett O'Neill

Elementary Differential Geometry focuses on the elementary account of the geometry of curves and surfaces. The book first offers information on calculus on Euclidean space and frame fields. Topics include structural equations, connection forms, fr...

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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.

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.