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Tensors and Riemannian geometry. With applications to diff. equations

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Author(s): Ibragimov, Nail H
Series: De Gruyter Textbook
Publisher: de Gruyter
Year: 2015

Language: English
Pages: 193

Content: 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