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

Resource Information

The work An Introduction to Riemannian Geometry : With Applications to Mechanics and Relativity represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.

Label

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

Title remainder

With Applications to Mechanics and Relativity

Statement of responsibility

by Leonor Godinho, José Natário

Creator

• Godinho, Leonor

Contributor

• Natário, José.
• SpringerLink (Online service)

Author

• Natário, José.
• Godinho, Leonor

Subject

• Global differential geometry
• Mathematics
• Mechanics

Language

eng

Summary

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

Member of

• Springer eBooks, Mathematics and Statistics Collection
• Universitext.

Cataloging source

IT-FiEUI

Image bit depth

0

Literary form

non fiction

Series statement

• Universitext,
• Springer eBooks