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

• Main Authors: Godinho, Leonor (Author), Natário, José (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Universitext,
• Subjects: Mathematics.; Differential geometry.; Mathematical physics.; Gravitation.; Mechanics.; Differential Geometry.; Mathematical Physics.; Classical and Quantum Gravitation, Relativity Theory.

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...

Table of Contents:

• Differentiable Manifolds
• Differential Forms
• Riemannian Manifolds
• Curvature
• Geometric Mechanics
• Relativity.