Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications
Author:   Krishan L. Duggal ,  Aurel Bejancu
Publisher:   Springer
Edition:   Softcover reprint of the original 1st ed. 1996
Volume:   364
ISBN:  

9789048146789


Pages:   303
Publication Date:   08 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
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Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications


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Overview

This book has been written with a two-fold approach in mind: firstly, it adds to the theory of submanifolds the missing part of lightlike (degenerate) submanifolds of semi-Riemannian manifolds, and, secondly, it applies relevant mathematical results to branches of physics. It is the first-ever attempt in mathematical literature to present the most important results on null curves, lightlike hypersurfaces and their applications to relativistic electromagnetism, radiation fields, Killing horizons and asymptotically flat spacetimes in a consistent way. Many striking differences between non-degenerate and degenerate geometry are highlighted, and open problems for both mathematicians and physicists are given. Audience: This book will be of interest to graduate students, research assistants and faculty working in differential geometry and mathematical physics.

Full Product Details

Author:   Krishan L. Duggal ,  Aurel Bejancu
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1996
Volume:   364
Dimensions:   Width: 15.50cm , Height: 1.60cm , Length: 23.50cm
Weight:   0.486kg
ISBN:  

9789048146789


ISBN 10:   904814678
Pages:   303
Publication Date:   08 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1 Algebraic Preliminaries.- 2 Differential-geometric structures on Manifolds.- 3 Geometry of null curves in Lorentz manifolds.- 4 Lightlike hypersurfaces of semi-Riemannian manifolds.- 5 Lightlike submanifolds of semi-Riemannian manifolds.- 6 CR-lightlike submanifolds of indefinite Kaehler manifolds.- 7 Lightlike hypersurfaces of Lorentz framed manifolds.- 8 Lightlike hypersurfaces and electromagnetism.- 9 Lightlike hypersurfaces and general relativity.- References.- Author Index.

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