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semi-riemannian maps and their applications (in English)
Kupeli,García-Río (Author)
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springer publishing map
· Physical Book
semi-riemannian maps and their applications (in English) - kupeli,garcía-río
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Synopsis "semi-riemannian maps and their applications (in English)"
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.
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The book is written in English.
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