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＜電子ブック＞
An Introduction to Riemannian Geometry : With Applications to Mechanics and Relativity / by Leonor Godinho, José Natário
(Universitext. ISSN:21916675)

版	1st ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	X, 467 p. 60 illus : online resource
著者標目	*Godinho, Leonor author Natário, José author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Mathematical physics LCSH:Mechanics LCSH:Gravitation FREE:Differential Geometry FREE:Mathematical Physics FREE:Classical Mechanics FREE:Classical and Quantum Gravity
一般注記	Differentiable Manifolds -- Differential Forms -- Riemannian Manifolds -- Curvature -- Geometric Mechanics -- Relativity 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 HTTP:URL=https://doi.org/10.1007/978-3-319-08666-8

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