By Leonor Godinho,José Natário
Unlike many different texts on differential geometry, this textbook additionally bargains attention-grabbing functions to geometric mechanics and common relativity.
The first half is a concise and self-contained creation to the fundamentals of manifolds, differential types, 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 through a variety of examples and over three hundred workouts. unique suggestions are supplied for plenty of of those workouts, making An advent to Riemannian Geometry perfect 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