Semi-Riemannian Geometry With Applications...

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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.

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:	2016
Fachbereich:	Geometrie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Gebunden
ISBN-13:	9780125267403
ISBN-10:	0125267401
Sprache:	Englisch
Herstellernummer:	S0079-8169(08)X6002-7
Autor:	O'Neill, Barrett
Hersteller:	Elsevier Science & Technology
Verantwortliche Person für die EU:	preigu, Ansas Meyer, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de
Maße:	244 x 164 x 40 mm
Von/Mit:	Barrett O'Neill
Erscheinungsdatum:	29.07.1983
Gewicht:	0,771 kg