Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications

Author:   Krishan L. Duggal ,  Aurel Bejancu
Publisher:   Springer
Edition:   1996 ed.
Volume:   364
ISBN:  

9780792339571


Pages:   303
Publication Date:   29 February 1996
Format:   Hardback
Availability:   In Print   Availability explained
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Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications


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Overview

This work 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 presents 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 differences between non-degenerate and degenerate geometry are highlighted, and open problems for both mathematicians and physicists are given.

Full Product Details

Author:   Krishan L. Duggal ,  Aurel Bejancu
Publisher:   Springer
Imprint:   Springer
Edition:   1996 ed.
Volume:   364
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.370kg
ISBN:  

9780792339571


ISBN 10:   0792339576
Pages:   303
Publication Date:   29 February 1996
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
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 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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