Introduction to Riemannian geometry : with applications to mechanics and relativity / Leonor Godinho and Jose Natario.
Material type:
TextSeries: UniversitextPublication details: Switzerland : Springer, 2014.Description: x, 467 p. ; illustrationsISBN: - 9783319086651
- 516.373 23 G585
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 516.373 G585 (Browse shelf(Opens below)) | Available | 135803 |
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| 516.373 G173 Riemannian geometry | 516.373 G216 Osserman manifolds in semi-Riemannian geometry | 516.373 G249 Radon transforms and the rigidity of the grassmannians | 516.373 G585 Introduction to Riemannian geometry : with applications to mechanics and relativity / | 516.373 G875 Metric structures for Riemannian and non-Riemannian spaces | 516.373 G875 Metric foliations and curvature | 516.373 H114 Riemannian metrices of constant mass and moduli spaces of conformal structures |
Includes bibliographical references and index.
1. Differentiable Manifolds --
2. Differential Forms --
3. Riemannian Manifolds --
4. Curvature --
5. Geometric Mechanics --
6. Relativity--
7. Solutions to selected exercises--
References--
Index.
Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
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