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Synopsis
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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From the Back Cover
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.
"About this title" may belong to another edition of this title.
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Differential Geometry of Lightlike Submanifolds (Frontiers in Mathematics)
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Differential Geometry of Lightlike Submanifolds (Frontiers in Mathematics)
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Differential Geometry of Lightlike Submanifolds (Paperback)
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Birkhauser Verlag AG, Basel, 2010
ISBN 10: 3034602502
ISBN 13: 9783034602501
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Paperback. Condition: new. Paperback. Since the second half of the 20th century, the Riemannian and semi-Riemannian geometries have been active areas of research in di?erential geometry and its - plications to a variety of subjects in mathematics and physics. A recent survey in Marcel Berger's book [60] includes the major developments of Riemannian ge- etry since 1950, citing the works of di?erential geometers of that time. During the mid 1970s, the interest shifted towards Lorentzian geometry, the mathematical theory used in general relativity. Since then there has been an amazing leap in the depth of the connection between modern di?erential geometry and mathematical relativity, both from the local and the global point of view. Most of the work on global Lorentzian geometry has been described in a standard book by Beem and Ehrlich [34] and in their second edition in 1996, with Easley. As for any semi-Riemannian manifold there is a natural existence of null (lightlike)subspaces, in 1996,Duggal-Bejancupublished a book[149] on the lig- like (degenerate) geometry of submanifolds needed to ?ll an important missing part in the general theory of submanifolds.Since then the large number of papers published on lightlike hypersurfaces and general theory of submanifolds of semi- Riemannian manifolds has created a demand for publication of this volume as an update on the study of lightlike geometry. The objective is to focus on all new geometric results (in particular, those availableonlyafterpublicationoftheDuggal-Bejancubook)onlightlikegeometry with proofs and their physical applications in mathematical physics. 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 Kahlerian, Sasakian and quaternion Kahler manifolds. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783034602501
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Differential Geometry of Lightlike Submanifolds
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Birkhäuser Basel Jan 2010, 2010
ISBN 10: 3034602502
ISBN 13: 9783034602501
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 488 pp. Englisch. Seller Inventory # 9783034602501
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Differential Geometry of Lightlike Submanifolds (Frontiers in Mathematics)
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Differential Geometry of Lightlike Submanifolds (Frontiers in Mathematics)
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Differential Geometry of Lightlike Submanifolds (Frontiers in Mathematics)
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Differential Geometry of Lightlike Submanifolds
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. There does not exist any other book covering the material presented in this volume. This makes the book a uniquely comprehensive work in the fieldThis is the first book which contains unique existence theorems (with proofs) for the screen distribu. Seller Inventory # 4317898
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Differential Geometry of Lightlike Submanifolds
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Condition: New. 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 Kahlerian, Sasakian and quaternion Kahler manifolds. Series: Frontiers in Mathematics. Num Pages: 488 pages, biography. BIC Classification: PBMP. Category: (P) Professional & Vocational. Dimension: 169 x 241 x 52. Weight in Grams: 950. . 2010. Paperback. . . . . Seller Inventory # V9783034602501
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Differential Geometry of Lightlike Submanifolds
Published by
Birkhäuser Basel, Springer Basel Jan 2010, 2010
ISBN 10: 3034602502
ISBN 13: 9783034602501
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Taschenbuch. Condition: Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 488 pp. Englisch. Seller Inventory # 9783034602501
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