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

by José Natário and Leonor Godinho

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...

• Format: Paperback
• Language: English
• ISBN: 3319086650
• ISBN13: 9783319086651
• Release Date: August 2014
• Publisher: Springer
• Length: 467 Pages
• Weight: 1.47 lbs.
• Dimensions: 1.0" x 6.1" x 9.2"