By Leonor Godinho,José Natário
Unlike many different texts on differential geometry, this textbook additionally bargains attention-grabbing purposes to geometric mechanics and common relativity.
The first half is a concise and self-contained creation to the fundamentals of manifolds, differential varieties, metrics and curvature. the second one half experiences 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 extra constructed by way of a number of examples and over three hundred routines. exact recommendations are supplied for plenty of of those routines, making An advent to Riemannian Geometry excellent for self-study.
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Extra resources 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