Differential Geometry of Lightlike Submanifolds - Brossura

Duggal, Krishan L.

Brossura

ISBN 10: 3034602502 ISBN 13: 9783034602501

Casa editrice: Birkhäuser, 2010

Riassunto

This book presents research on the latest developments in differential geometry of lightlike (degenerate) subspaces. The main focus is on hypersurfaces and a variety of submanifolds of indefinite Kählerian, Sasakian and quaternion Kähler manifolds.

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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.

Dettagli dell?edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 3034602502
• ISBN 13: 9783034602501
• Rilegatura: Copertina flessibile
• Numero di pagine: 488
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile