Semi-Riemannian geometry / Barrett O'Neill

Public ISBD Titre : Semi-Riemannian geometry Type de document : texte imprimé Auteurs : Barrett O'Neill, Auteur Editeur : USA : Academic Press Année de publication : 1983 Collection : Pure and applied mathematics num. 103 Importance : 468 p. Présentation : ill. Format : 24 cm. ISBN/ISSN/EAN : 978-0-12-526740-3 Note générale : Bibliogr. p. 456-457. Index Langues : Anglais Catégories : MATH:516 Géométrie Mots-clés : Géométrie de Riemann  Variétés (mathématiques)  Calcul tensoriel  Relativité (physique) Résumé : 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. Semi-Riemannian geometry [texte imprimé] / Barrett O'Neill, Auteur . - USA : Academic Press, 1983 . - 468 p. : ill. ; 24 cm.. - (Pure and applied mathematics; 103) . ISBN : 978-0-12-526740-3 Bibliogr. p. 456-457. Index Langues : Anglais Catégories : MATH:516 Géométrie Mots-clés : Géométrie de Riemann  Variétés (mathématiques)  Calcul tensoriel  Relativité (physique) Résumé : 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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Code-barres	Cote	Support	Localisation	Section	Disponibilité
516.68-1	516.68-1	Livre interne	BIBLIOTHEQUE CENTRALE	Mathématique (bc)	Disponible
516.3-14-1	516.3-14-1	Livre externe	BIBLIOTHEQUE DE FACULTE DES SCIENCES	Mathématique (SCI)	Disponible

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