Semi-Riemannian Maps and Their Applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1999
|
| Schriftenreihe: | Mathematics and Its Applications
475 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (X, 198 p) |
| ISBN: | 9789401729796 9789048152025 |
| DOI: | 10.1007/978-94-017-2979-6 |
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| 500 | |a 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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Datensatz im Suchindex
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| author | García-Río, Eduardo |
| author_facet | García-Río, Eduardo |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-017-2979-6 |
| format | Electronic eBook |
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| id | DE-604.BV042424308 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401729796 9789048152025 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859725 |
| oclc_num | 860051993 |
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| physical | 1 Online-Ressource (X, 198 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1999 |
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| publisher | Springer Netherlands |
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| series2 | Mathematics and Its Applications |
| spelling | García-Río, Eduardo Verfasser aut Semi-Riemannian Maps and Their Applications by Eduardo García-Río, Demir N. Kupeli Dordrecht Springer Netherlands 1999 1 Online-Ressource (X, 198 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 475 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 Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Theoretical, Mathematical and Computational Physics Mathematik Kupeli, Demir N. Sonstige oth https://doi.org/10.1007/978-94-017-2979-6 Verlag Volltext |
| spellingShingle | García-Río, Eduardo Semi-Riemannian Maps and Their Applications Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Theoretical, Mathematical and Computational Physics Mathematik |
| title | Semi-Riemannian Maps and Their Applications |
| title_auth | Semi-Riemannian Maps and Their Applications |
| title_exact_search | Semi-Riemannian Maps and Their Applications |
| title_full | Semi-Riemannian Maps and Their Applications by Eduardo García-Río, Demir N. Kupeli |
| title_fullStr | Semi-Riemannian Maps and Their Applications by Eduardo García-Río, Demir N. Kupeli |
| title_full_unstemmed | Semi-Riemannian Maps and Their Applications by Eduardo García-Río, Demir N. Kupeli |
| title_short | Semi-Riemannian Maps and Their Applications |
| title_sort | semi riemannian maps and their applications |
| topic | Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Theoretical, Mathematical and Computational Physics Mathematik |
| topic_facet | Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Theoretical, Mathematical and Computational Physics Mathematik |
| url | https://doi.org/10.1007/978-94-017-2979-6 |
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