Free Download BookSemi-Riemannian Maps and Their Applications (Mathematics and Its Applications)

Free Semi-Riemannian Maps and Their Applications (Mathematics and Its Applications)

Free Semi-Riemannian Maps and Their Applications (Mathematics and Its Applications)

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A major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric properties. Here, a class of such maps called semi-Riemannian maps is introduced. The main purpose of this book is to present results in semi-Riemannian geometry obtained by the existence of such a map between semi-Riemannian manifolds, as well as to encourage the reader to explore these maps. The first three chapters are devoted to the development of fundamental concepts and formulas in semi-Riemannian geometry which are used throughout the work. In Chapters 4 and 5 semi-Riemannian maps and such maps with respect to a semi-Riemannian foliation are studied. Chapter 6 studies the maps from a semi-Riemannian manifold to 1-dimensional semi- Euclidean space. In Chapter 7 some splitting theorems are obtained by using the existence of a semi-Riemannian map. Audience: This volume will be of interest to mathematicians and physicists whose work involves differential geometry, global analysis, or relativity and gravitation. Constructive Mathematics Internet Encyclopedia of Philosophy Constructive Mathematics. Constructive mathematics is positively characterized by the requirement that proof be algorithmic. Loosely speaking this means that when a ... [ihtik.lib.ru] _ [ihtik.lib.ru] _. : 14292 : 573 GB; ; d:\_ihtik.lib.ru\2012.03 ... General relativity - Wikipedia General relativity (GR also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the ...
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