Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications

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 attem...

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Main Authors: Duggal, Krishan L., Bejancu, Aurel (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1996, 1996
Series:Mathematics and Its Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Summary: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
Physical Description:VIII, 303 p online resource
ISBN:9789401720892