Semi-Riemannian Maps and Their Applications
(Sprache: Englisch)
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...
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Klappentext zu „Semi-Riemannian Maps and Their Applications “
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 mathematiciansand physicists whose work involves differential geometry, global analysis, or relativity and gravitation.
Inhaltsverzeichnis zu „Semi-Riemannian Maps and Their Applications “
Preface. 1. Linear Algebra of Indefinite Inner Product Spaces. 2. Semi-Riemannian Manifolds. 3. Second Fundamental Form of a Map. 4. Semi-Riemannian Maps. 5. Semi-Riemannian Transversal Maps. 6. Semi-Riemannian Eikonal Equations and the Semi-Riemannian Regular Interval Theorem. 7. Applications to Splitting Theorems. A. Submanifolds of Semi-Riemannian Manifolds. B. Riemannian and Lorentzian Geometry. Bibliography. Index.
Bibliographische Angaben
- Autoren: Eduardo García-Río , D. N. Kupeli
- 1999, 1999, 198 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer Netherlands
- ISBN-10: 0792356616
- ISBN-13: 9780792356615
- Erscheinungsdatum: 30.04.1999
Sprache:
Englisch
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