By Leonor Godinho,José Natário
Unlike many different texts on differential geometry, this textbook additionally deals attention-grabbing functions to geometric mechanics and normal relativity.
The first half is a concise and self-contained advent to the fundamentals of manifolds, differential kinds, metrics and curvature. the second one half reports functions to mechanics and relativity together with the proofs of the Hawking and Penrose singularity theorems. it may be independently used for one-semester classes in both of those subjects.
The major rules are illustrated and additional constructed via a number of examples and over three hundred routines. specified strategies are supplied for plenty of of those routines, making An advent to Riemannian Geometry excellent for self-study.
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Additional info for An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext)
An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext) by Leonor Godinho,José Natário