**An Introduction to Riemannian Geometry**

by Sigmundur Gudmundsson

**Publisher**: Lund University 2010**Number of pages**: 106

**Description**:

The main purpose of these lecture notes is to introduce the beautiful theory of Riemannian Geometry, a still very active area of mathematical research. This is a subject with no lack of interesting examples. They are indeed the key to a good understanding of it and will therefore play a major role throughout this work. Of special interest are the classical Lie groups allowing concrete calculations of many of the abstract notions on the menu.

Download or read it online for free here:

**Download link**

(580KB, PDF)

## Similar books

**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.

(

**12109**views)

**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.

(

**8344**views)

**Semi-Riemann Geometry and General Relativity**

by

**Shlomo Sternberg**

Course notes for 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.

(

**18472**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.

(

**9866**views)