Differential Geometry of Lightlike Submanifolds

Bayram Sahin

ISBN 10: 3034602502 / ISBN 13: 9783034602501

Published by Birkhäuser Basel, Springer Basel Jan 2010, 2010

About this Item

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

Bibliographic Details

• Title: Differential Geometry of Lightlike Submanifolds
• Publisher: Birkhäuser Basel, Springer Basel Jan 2010
• Publication Date: 2010
• Language: English
• ISBN 10: 3034602502
• ISBN 13: 9783034602501
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 170H x 27D millimeters 240 millimeters width by 170 millimeters height by 27 millimeters depth
• Weight: 821 grams

About this title

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.

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.