Description: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Krishan L. Duggal, Aurel Bejancu Format: Paperback Publisher: Springer, Netherlands Imprint: Springer ISBN-13: 9789048146789, 978-9048146789 Synopsis This book is about the light like (degenerate) geometry of submanifolds needed to fill a gap in the general theory of submanifolds. The growing importance of light like hypersurfaces in mathematical physics, in particular their extensive use in relativity, and very limited information available on the general theory of lightlike submanifolds, motivated the present authors, in 1990, to do collaborative research on the subject matter of this book. Based on a series of author's papers (Bejancu [3], Bejancu-Duggal [1,3], Dug gal [13], Duggal-Bejancu [1,2,3]) and several other researchers, this volume was conceived and developed during the Fall '91 and Fall '94 visits of Bejancu to the University of Windsor, Canada. The primary difference between the lightlike submanifold and that of its non degenerate counterpart arises due to the fact that in the first case, the normal vector bundle intersects with the tangent bundle of the submanifold. Thus, one fails to use, in the usual way, the theory of non-degenerate submanifolds (cf. Chen [1]) to define the induced geometric objects (such as linear connection, second fundamental form, Gauss and Weingarten equations) on the light like submanifold. Some work is known on null hypersurfaces and degenerate submanifolds (see an up-to-date list of references on pages 138 and 140 respectively). Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of an up-to-date information on null curves, lightlike hypersur faces and submanifolds, consistent with the theory of non-degenerate submanifolds.
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Book Title: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applic...
Item Height: 235mm
Item Width: 155mm
Author: Aurel Bejancu, Krishan L. Duggal
Publication Name: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications
Format: Paperback
Language: English
Publisher: Springer
Subject: Mathematics, Physics
Publication Year: 2010
Type: Textbook
Item Weight: 486g
Number of Pages: 303 Pages
