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Titlebook: Differential Geometry of Lightlike Submanifolds; Krishan L. Duggal,Bayram Sahin Book 2010 Birkhäuser Basel 2010 Semi-Riemannian geometry.d

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发表于 2025-3-21 19:45:59 | 显示全部楼层 |阅读模式
书目名称Differential Geometry of Lightlike Submanifolds
编辑Krishan L. Duggal,Bayram Sahin
视频video
概述There does not exist any other book covering the material presented in this volume. This makes the book a uniquely comprehensive work in the field.This is the first book which contains unique existenc
丛书名称Frontiers in Mathematics
图书封面Titlebook: Differential Geometry of Lightlike Submanifolds;  Krishan L. Duggal,Bayram Sahin Book 2010 Birkhäuser Basel 2010 Semi-Riemannian geometry.d
描述.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..
出版日期Book 2010
关键词Semi-Riemannian geometry; differential geometry; manifold; mathematical physics; submanifold
版次1
doihttps://doi.org/10.1007/978-3-0346-0251-8
isbn_softcover978-3-0346-0250-1
isbn_ebook978-3-0346-0251-8Series ISSN 1660-8046 Series E-ISSN 1660-8054
issn_series 1660-8046
copyrightBirkhäuser Basel 2010
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发表于 2025-3-21 23:01:20 | 显示全部楼层
Lightlike hypersurfaces,from the point of physics lightlike hypersurfaces are of importance as they are models of various types of horizons, such as Killing, dynamical and conformal horizons, studied in general relativity (see some details in Chapter 3). However, due to the degenerate metric of a lightlike submanifold ., o
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发表于 2025-3-22 05:58:13 | 显示全部楼层
,Submanifolds of indefinite Kähler manifolds,degenerate case [45, 133 373], CR-lightlike submanifolds are non-trivial (i.e., they do not include invariant (complex) and real parts). Since then considerable work has been done on new concepts to obtain a variety of classes of lightlike submanifolds. In this chapter we present up-to-date new resu
发表于 2025-3-22 09:40:58 | 显示全部楼层
发表于 2025-3-22 15:57:12 | 显示全部楼层
,Submanifolds of indefinite quaternion Kähler manifolds,nion Käahler manifolds. We study the geometry of real lightlike hypersurfaces, the structure of lightlike submanifolds, both, of indefinite quaternion Kähler manifolds and show that a quaternion lightlike submanifold is always totally geodesic. This result implies that the study of lightlike submani
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发表于 2025-3-22 22:50:22 | 显示全部楼层
Rationalitäten des KinderschutzesThe objective of this chapter is to present an up-to-date account of the works published on the general theory of lightlike submanifolds of semi-Riemannian manifolds. This includes unique existence theorems for screen distributions, geometry of totally umbilical, minimal and warped product lightlike submanifolds.
发表于 2025-3-23 04:29:33 | 显示全部楼层
A: Aanleiding of Activerende GebeurtenisIn this chapter we present applications of lightlike geometry in the study of null 2-surfaces in spacetimes, lightlike versions of harmonic maps and morphisms, CRstructures in general relativity and lightlike contact geometry in physics.
发表于 2025-3-23 06:38:09 | 显示全部楼层
Half-lightlike submanifolds,There are two cases of codimension 2 lightlike submanifolds M since for this type the dimension of their radical distribution Rad. is either one or two. A codimension 2 lightlike submanifold is called half-lightlike [147] if dim(Rad .)=1. The objective of this chapter is to present up-to-date results of this sub-case.
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