**Holonomy Groups in Riemannian Geometry**

by Andrew Clarke, Bianca Santoro

**Publisher**: arXiv 2012**Number of pages**: 124

**Description**:

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.

Download or read it online for free here:

**Download link**

(800KB, PDF)

## Similar books

**Lectures on Geodesics in Riemannian Geometry**

by

**M. Berger**-

**Tata Institute of Fundamental Research**

The main topic of these notes is geodesics. Our aim is to give a fairly complete treatment of the foundations of Riemannian geometry and to give global results for Riemannian manifolds which are subject to geometric conditions of various types.

(

**5573**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.

(

**10161**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.

(

**4623**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.

(

**7574**views)