Free Delivery Over $100
|
|
|||
|
||||
OverviewA major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric properties. Here, a class of such maps called semi-Riemannian maps is introduced. The main purpose of this book is to present results in semi-Riemannian geometry obtained by the existence of such a map between semi-Riemannian manifolds, as well as to encourage the reader to explore these maps. The first three chapters are devoted to the development of fundamental concepts and formulas in semi-Riemannian geometry which are used throughout the work. In Chapters 4 and 5 semi-Riemannian maps and such maps with respect to a semi-Riemannian foliation are studied. Chapter 6 studies the maps from a semi-Riemannian manifold to 1-dimensional semi- Euclidean space. In Chapter 7 some splitting theorems are obtained by using the existence of a semi-Riemannian map. Full Product DetailsAuthor: Eduardo García-Río , D.N. KupeliPublisher: Springer Imprint: Springer Edition: 1999 ed. Volume: 475 Dimensions: Width: 15.50cm , Height: 1.20cm , Length: 23.50cm Weight: 1.050kg ISBN: 9780792356615ISBN 10: 0792356616 Pages: 198 Publication Date: 30 April 1999 Audience: College/higher education , Professional and scholarly , Undergraduate , 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 Linear Algebra of Indefinite Inner Product Spaces.- 2 Semi-Riemannian Manifolds.- 3 Second Fundamental Form of a Map.- 4 Semi-Riemannian Maps.- 5 Semi-Riemannian Transversal Maps.- 6 Semi-Riemannian Eikonal Equations and The Semi-Riemannian Regular Interval Theorem.- 7 Applications To Splitting Theorems.- A Submanifolds of Semi-Riemannian Manifolds.- A.1 Semi-Riemannian Submanifolds.- A.2 Degenerate Submanifolds.- B Riemannian and Lorentzian Geometry.- B.1 Riemannian Geometry.- B.2 Lorentzian Geometry.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
