书目名称 | Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications | 编辑 | Krishan L. Duggal,Aurel Bejancu | 视频video | | 丛书名称 | Mathematics and Its Applications | 图书封面 |  | 描述 | This book is about the light like (degenerate) geometry of submanifolds needed to fill a gap in the general theory of submanifolds. The growing importance of light like hypersurfaces in mathematical physics, in particular their extensive use in relativity, and very limited information available on the general theory of lightlike submanifolds, motivated the present authors, in 1990, to do collaborative research on the subject matter of this book. Based on a series of author‘s papers (Bejancu [3], Bejancu-Duggal [1,3], Dug gal [13], Duggal-Bejancu [1,2,3]) and several other researchers, this volume was conceived and developed during the Fall ‘91 and Fall ‘94 visits of Bejancu to the University of Windsor, Canada. The primary difference between the lightlike submanifold and that of its non degenerate counterpart arises due to the fact that in the first case, the normal vector bundle intersects with the tangent bundle of the submanifold. Thus, one fails to use, in the usual way, the theory of non-degenerate submanifolds (cf. Chen [1]) to define the induced geometric objects (such as linear connection, second fundamental form, Gauss and Weingarten equations) on the light like submanif | 出版日期 | Book 1996 | 关键词 | differential geometry; geometry; manifold; mathematical physics; relativity; theory of relativity; partial | 版次 | 1 | doi | https://doi.org/10.1007/978-94-017-2089-2 | isbn_softcover | 978-90-481-4678-9 | isbn_ebook | 978-94-017-2089-2 | copyright | Springer Science+Business Media Dordrecht 1996 |
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