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OverviewThis volume is an exposition of singular semi-Riemannian geometry: the study of a smooth manifold furnished with a degenerate (singular) metric tensor of arbitrary signature. The main topic of interest is those cases where metric tensors are assumed to be nondegenerate. In the literature manifolds with degenerate metric tensors have been studied extrinsically as degenerate submanifolds of semi-Riemannian manifolds. Here, the intrinsic structure of a manifold with a degenerate metric tensor is studied first, and then it is studied extrinsically by considering it as a degenerate submanifold of a semi-Riemannian manifold. The book is divided into three parts. The four chapters of Part I deal with singular semi-Riemannian manifolds. Part II is concerned with singular Kahler manifolds in four chapters parallel to Part I. Finally, Part III consists of three chapters treating singular quaternionic Kahler manifolds. This book is intended for graduate students of differential geometry, who have some background knowledge on the subject of complex manifolds already. Full Product DetailsAuthor: D.N. KupeliPublisher: Springer Imprint: Springer Edition: 1996 ed. Volume: 366 Dimensions: Width: 15.50cm , Height: 1.20cm , Length: 23.50cm Weight: 1.000kg ISBN: 9780792339960ISBN 10: 0792339967 Pages: 181 Publication Date: 30 April 1996 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1 Preliminaries I: The Linear Algebra of Real Inner Product Spaces.- 2 A Review of Covariant Derivative Operators in Real Vector Bundles.- 3 Singular Semi-Riemannian Manifolds.- 4 Semi-Riemannian Submanifolds in Nondegenerate Semi-Riemannian Manifolds.- 5 Preliminaries II: Linear Algebra of Hermitian Inner Product Spaces.- 6 A Review of Covariant Derivative Operators in Complex Vector Bundles.- 7 Singular Kähler Manifolds.- 8 Hermitian Submanifolds of Nondegenerate Kähler Manifolds.- 9 Preliminaries III: Linear Algebra of Quaternionic Inner Product Spaces.- 10 Singular Quaternionic Kähler Manifolds.- 11 Quaternionic Semi-Riemannian Submanifolds of Nondegenerate Quaternionic Kähler Manifolds.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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