Semi-Riemannian Geometry With Applications to Relativity

Barrett O'Neill (Autor)

Buch | Hardcover

488 Seiten

1983
Academic Press Inc (Verlag)
978-0-12-526740-3 (ISBN)

Artikel merken

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.

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.

Erscheint lt. Verlag	29.7.1983
Reihe/Serie	Pure and Applied Mathematics
Verlagsort	San Diego
Sprache	englisch
Maße	152 x 229 mm
Gewicht	780 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie
ISBN-10	0-12-526740-1 / 0125267401
ISBN-13	978-0-12-526740-3 / 9780125267403
Zustand	Neuware