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An Introduction to Riemannian Geometry With Applications to Mechanics and 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 studi...

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Bibliographic Details
Main Authors: Godinho, Leonor, Natário, José (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Series:Universitext
Subjects:
Geometry, Differential
Classical Mechanics
Gravitation
Mathematical Physics
Classical And Quantum Gravity
Differential Geometry
Mechanics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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520 |a 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 

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