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Differential Geometry of Lightlike Submanifolds

Differential Geometry of Lightlike Submanifolds
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Field name Details
Dewey Class 516.36 (DDC 23)
Title Differential Geometry of Lightlike Submanifolds ([Ebook]) / by Krishan L. Duggal, Bayram Sahin.
Author Duggal, Krishan L.
Added Personal Name Sahin, Bayram
Other name(s) SpringerLink (Online service)
Publication Basel : Birkhäuser , 2010.
Physical Details Approx. 488 pages : online resource.
Series Frontiers in Mathematics 1660-8046
ISBN 9783034602518
Summary Note 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.:
Contents note Preface -- Notations -- 1 Preliminaries -- 2 Lightlike hypersurfaces -- 3 Applications of lightlike hypersurfaces -- 4 Half-lightlike submanifolds -- 5 Lightlike submanifolds -- 6 Submanifolds of indefinite Kähler manifolds -- 7 Submanifolds of indefinite Sasakian manifolds -- 8 Submanifolds of Indefinite quaternion Kähler manifolds -- 9 Applications of lightlike geometry -- Bibliography -- Index.
System details note Online access is restricted to subscription institutions through IP address (only for SISSA users)
Internet Site http://dx.doi.org/10.1007/978-3-0346-0251-8
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