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Semi-Riemannian geometry : with applications to relativity /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: O'Neill, Barrett
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1983.
Colección:Pure and applied mathematics (Academic Press) ; 103.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource (xiii, 468 pages)
Bibliografía:Includes bibliographical references (pages 456-457) and index.
ISBN:9780080570570
0080570577