| Semi-Riemannian Maps and Their Applications Softcover Repri Edition Contributor(s): García-Río, Eduardo (Author), Kupeli, D. N. (Author) |
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ISBN: 904815202X ISBN-13: 9789048152025 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Analytic - Medical - Mathematics | Geometry - Differential |
| Dewey: 516.373 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.45" H x 6.14" W x 9.21" (0.67 lbs) 198 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |