Tensors and Riemannian Geometry

Nail H. Ibragimov, Ufa State Aviation Technical University, Russia, Blekinge Institute of Technology, Sweden

• Table of ContentsPart I Tensors and Riemannian Spaces 1 Preliminaries 2 Conservation laws 3 Introduction of tensors and Riemannian spaces4 Motions in Riemannian spaces Part II Riemannian Spaces of Second-Order Equations 5 Riemannian spaces associated with linear PDEs 6 Geometry of linear hyperbolic equations 7 Solution of the initial value problem Part III Theory of Relativity 8 Brief introduction to Relativity 9 Relativity in de Sitter space BibliographyIndex