**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

**Riemannian Geometry**

by

**Ilkka Holopainen, Tuomas Sahlsten**

Based on the lecture notes on differential geometry. From the contents: Differentiable manifolds, a brief review; Riemannian metrics; Connections; Geodesics; Curvature; Jacobi fields; Curvature and topology; Comparison geometry; The sphere theorem.

(

**3826**views)

**Riemannian Geometry: Definitions, Pictures, and Results**

by

**Adam Marsh**-

**arXiv**

A pedagogical but concise overview of Riemannian geometry is provided in the context of usage in physics. The emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions and relevant theorems.

(

**2153**views)

**A Sampler of Riemann-Finsler Geometry**

by

**D. Bao, R. Bryant, S. Chern, Z. Shen**-

**Cambridge University Press**

Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry, and parametrized jet bundles.

(

**9024**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.

(

**7183**views)