**Semi-Riemann Geometry and General Relativity**

by Shlomo Sternberg

2003**Number of pages**: 251

**Description**:

This book represents course notes for a one semester course at the undergraduate level giving an introduction to Riemannian geometry and its principal physical application, Einsteinâ€™s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus, preferably in the language of differential forms.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**Holonomy Groups in Riemannian Geometry**

by

**Andrew Clarke, Bianca Santoro**-

**arXiv**

The holonomy group is one of the fundamental analytical objects that one can define on a Riemannian manfold. These notes provide a first introduction to the main general ideas on the study of the holonomy groups of a Riemannian manifold.

(

**4518**views)

**An Introduction to Riemannian Geometry**

by

**Sigmundur Gudmundsson**-

**Lund University**

The main purpose of these lecture notes is to introduce the beautiful theory of Riemannian Geometry. Of special interest are the classical Lie groups allowing concrete calculations of many of the abstract notions on the menu.

(

**9740**views)

**Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation**

by

**M. Arnaudon, F. Barbaresco, L. Yang**-

**arXiv**

This paper is a short summary of our recent work on the medians and means of probability measures in Riemannian manifolds. The existence and uniqueness results of local medians are given. We propose a subgradient algorithm and prove its convergence.

(

**5910**views)

**Riemannian Submanifolds: A Survey**

by

**Bang-Yen Chen**-

**arXiv**

Submanifold theory is a very active vast research field which plays an important role in the development of modern differential geometry. In this book, the author provides a broad review of Riemannian submanifolds in differential geometry.

(

**3354**views)