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Birkhäuser - Birkhäuser Mathematics | Differential Geometry of Lightlike Submanifolds

Differential Geometry of Lightlike Submanifolds

Duggal, Krishan, Sahin, Bayram

2010, Approx. 488 p.

A product of Birkhäuser Basel
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  • Contains unique existence theorems (with proofs) for the screen distributions of lightlike submanifolds
  • Features applications focused on time-dependent realistic models of black hole horizons, lightlike versions of Osserman geometry, harmonic maps and morphisms, CR and contact structures in physics
  • Includes an extensive bibliography including many papers and books on the Riemannian geometry of submanifolds for readers who wish to do further research

This is the first systematic account of the main results in the theory of lightlike submanifolds of semi-Riemannian manifolds which have a geometric structure, such as almost Hermitian, almost contact metric or quaternion Kähler. Using these structures, the book presents interesting classes of submanifolds whose geometry is very rich.

The book also includes hypersurfaces of semi-Riemannian manifolds, their use in general relativity and Osserman geometry, half-lightlike submanifolds of semi-Riemannian manifolds, lightlike submersions, screen conformal submersions, and their applications in harmonic maps.

Basic constructions and definitions are presented as preliminary background in every chapter. The presentation explores applications and suggests several open questions.

This self-contained monograph provides up-to-date research in lightlike geometry and is intended for graduate students and researchers just entering this field.

Content Level » Research

Keywords » Semi-Riemannian geometry - differential geometry - manifold - mathematical physics - submanifold

Related subjects » Birkhäuser Mathematics

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