**An Introduction to Riemannian Geometry with Applications to Mechanics and Relativity**

by Leonor Godinho, Jose Natario

2004**Number of pages**: 272

**Description**:

Contents: Differentiable Manifolds; Differential Forms; Riemannian Manifolds; Curvature; Geometric Mechanics; Relativity (Galileo Spacetime, Special Relativity, The Cartan Connection, General Relativity, The Schwarzschild Solution).

Download or read it online for free here:

**Download link**

(1.9MB, PDF)

## Similar books

**Lectures on Differential Geometry**

by

**John Douglas Moore**-

**University of California**

Foundations of Riemannian geometry, including geodesics and curvature, as well as connections in vector bundles, and then go on to discuss the relationships between curvature and topology. Topology will presented in two dual contrasting forms.

(

**6774**views)

**Riemannian Geometry**

by

**Richard L. Bishop**-

**arXiv**

These notes on Riemannian geometry use the bases bundle and frame bundle, as in Geometry of Manifolds, to express the geometric structures. It starts with the definition of Riemannian and semi-Riemannian structures on manifolds.

(

**4299**views)

**A Panoramic View of Riemannian Geometry**

by

**Marcel Berger**-

**Springer**

In this monumental work, Marcel Berger manages to survey large parts of present day Riemannian geometry. The book offers a great opportunity to get a first impression of some part of Riemannian geometry, together with hints for further reading.

(

**7506**views)

**A Course in Riemannian Geometry**

by

**David R. Wilkins**-

**Trinity College, Dublin**

From the table of contents: Smooth Manifolds; Tangent Spaces; Affine Connections on Smooth Manifolds; Riemannian Manifolds; Geometry of Surfaces in R3; Geodesics in Riemannian Manifolds; Complete Riemannian Manifolds; Jacobi Fields.

(

**7254**views)