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

Leonor Godinho (u. a.)

ISBN 10: 3319086650 / ISBN 13: 9783319086651

Published by Springer, 2014

An Introduction to Riemannian Geometry | With Applications to Mechanics and Relativity | Leonor Godinho (u. a.) | Taschenbuch | Universitext | x | Englisch | 2014 | Springer | EAN 9783319086651 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 105215721

Synopsis:

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.

About the Author:

Leonor Godinho is professor at Instituto Superior Técnico (Universidade de Lisboa). She regularly teaches Riemannian geometry, symplectic geometry and introductory geometry courses. Her research activity is focused on symplectic geometry and its connections to algebraic geometry and combinatorics.

José Natário is professor of mathematics at Instituto Superior Técnico (Universidade de Lisboa). He regularly lectures on differential and Riemannian geometry, geometric mechanics and mathematical relativity. His research focuses on general relativity, a subject on which he has published many research papers and a book, “General Relativity Without Calculus” (Springer, 2011).

Bibliographic Details

Title: An Introduction to Riemannian Geometry | ...
Publisher: Springer
Publication Date: 2014
Binding: Taschenbuch
Condition: Neu