Semi-Riemannian Maps and Their Applications - Eduardo García-Río, D.N. Kupeli

Semi-Riemannian Maps and Their Applications

Buch | Hardcover
198 Seiten
1999
Springer (Verlag)
978-0-7923-5661-5 (ISBN)
106,99 inkl. MwSt
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.

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.- A.1 Semi-Riemannian Submanifolds.- A.2 Degenerate Submanifolds.- B Riemannian and Lorentzian Geometry.- B.1 Riemannian Geometry.- B.2 Lorentzian Geometry.

Reihe/Serie Mathematics and Its Applications ; 475
Mathematics and Its Applications ; 475
Zusatzinfo X, 198 p.
Verlagsort Dordrecht
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Geometrie / Topologie
Naturwissenschaften Physik / Astronomie
ISBN-10 0-7923-5661-6 / 0792356616
ISBN-13 978-0-7923-5661-5 / 9780792356615
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch | Hardcover (2022)
Springer Spektrum (Verlag)
79,99