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An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity

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An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity - Godinho, Leonor, and Natário, José
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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 ...

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An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity 2014, Springer, Cham

ISBN-13: 9783319086651

2014 edition

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