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Cover: 9780125267403 | Semi-Riemannian Geometry With Applications to Relativity | O'Neill
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Semi-Riemannian Geometry With Applications to Relativity
Buch von Barrett O'Neill
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1983
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 488
Inhalt: Gebunden
ISBN-13: 9780125267403
ISBN-10: 0125267401
Sprache: Englisch
Einband: Gebunden
Autor: O'Neill, Barrett
Hersteller: Elsevier Science Publishing Co Inc
Maße: 244 x 164 x 40 mm
Von/Mit: Barrett O'Neill
Erscheinungsdatum: 29.07.1983
Gewicht: 0,856 kg
preigu-id: 126705632
Über den Autor
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1983
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 488
Inhalt: Gebunden
ISBN-13: 9780125267403
ISBN-10: 0125267401
Sprache: Englisch
Einband: Gebunden
Autor: O'Neill, Barrett
Hersteller: Elsevier Science Publishing Co Inc
Maße: 244 x 164 x 40 mm
Von/Mit: Barrett O'Neill
Erscheinungsdatum: 29.07.1983
Gewicht: 0,856 kg
preigu-id: 126705632
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