TY  - BOOK
AU  - Godinho,Leonor
AU  - Nat�rio,Jos�.
ED  - SpringerLink (Online service)
TI  - An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity 
T2  - Universitext,
SN  - 9783319086668
AV  - QA641-670 
U1  - 516.36 23
PY  - 2014///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematics
KW  - Differential geometry
KW  - Mathematical physics
KW  - Gravitation
KW  - Mechanics
KW  - Differential Geometry
KW  - Mathematical Physics
KW  - Classical and Quantum Gravitation, Relativity Theory
N1  - Differentiable Manifolds -- Differential Forms -- Riemannian Manifolds -- Curvature -- Geometric Mechanics -- Relativity
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-319-08666-8
ER  -