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Titlebook: Semi-Riemannian Maps and Their Applications; Eduardo García-Río,Demir N. Kupeli Book 1999 Springer Science+Business Media Dordrecht 1999 R

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发表于 2025-3-21 18:23:40 | 显示全部楼层 |阅读模式
书目名称Semi-Riemannian Maps and Their Applications
编辑Eduardo García-Río,Demir N. Kupeli
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Semi-Riemannian Maps and Their Applications;  Eduardo García-Río,Demir N. Kupeli Book 1999 Springer Science+Business Media Dordrecht 1999 R
描述A major flaw in semi-Riemannian geometry is a shortage ofsuitable types of maps between semi-Riemannian manifolds that willcompare their geometric properties. Here, a class of such maps calledsemi-Riemannian maps is introduced. The main purpose of this book isto present results in semi-Riemannian geometry obtained by theexistence of such a map between semi-Riemannian manifolds, as well asto encourage the reader to explore these maps. .The first three chapters are devoted to the development of fundamentalconcepts and formulas in semi-Riemannian geometry which are usedthroughout the work. In Chapters 4 and 5 semi-Riemannian maps and suchmaps with respect to a semi-Riemannian foliation are studied. Chapter6 studies the maps from a semi-Riemannian manifold to 1-dimensionalsemi- Euclidean space. In Chapter 7 some splitting theorems areobtained by using the existence of a semi-Riemannian map. ..Audience:. This volume will be of interest to mathematicians andphysicists whose work involves differential geometry, global analysis,or relativity and gravitation.
出版日期Book 1999
关键词Riemannian geometry; differential geometry; geometry; gravity; manifold; relativity; theory of relativity
版次1
doihttps://doi.org/10.1007/978-94-017-2979-6
isbn_softcover978-90-481-5202-5
isbn_ebook978-94-017-2979-6
copyrightSpringer Science+Business Media Dordrecht 1999
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发表于 2025-3-21 21:29:05 | 显示全部楼层
Eduardo García-Río,Demir N. Kupelieine oder andere der Urgroßeltern, und alle, die für einen von diesen Platz gemacht haben. Zu denen, die Platz gemacht haben, gehören frühere Ehepartner oder eheähnliche Partner von Eltern und Großeltern, und es gehören dazu alle, deren Weggang, oder Unglück, oder Verlust, oder Schuld anderen den Zu
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Second Fundamental Form of a Map,gely in the analysis of certain properties of maps between manifolds in the literature. However, in this chapter, we study the second fundamental form of a map only as much as we need to carry out our work on semi-Riemannian maps. We devote the first section to the definition and basic properties of
发表于 2025-3-23 08:20:37 | 显示全部楼层
Semi-Riemannian Maps, as “isometric as it can be.” Hence, as one expects, the existence of a semi-Riemannian map between semi-Riemannian manifolds enables us to compare some geometric properties of the semi-Riemannian manifolds in its domain and range. Clearly, this concept is a generalization of the notion of isometry.
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