Logo

Holonomy Groups in Riemannian Geometry

Small book cover: Holonomy Groups in Riemannian Geometry

Holonomy Groups in Riemannian Geometry
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(800KB, PDF)

Similar books

Book cover: Semi-Riemann Geometry and General RelativitySemi-Riemann Geometry and General Relativity
by
Course notes for an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus.
(18195 views)
Book cover: Riemannian GeometryRiemannian Geometry
by - 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.
(9537 views)
Book cover: Lectures on Geodesics in Riemannian GeometryLectures on Geodesics in Riemannian Geometry
by - 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.
(9308 views)
Book cover: Lectures notes on compact Riemann surfacesLectures notes on compact Riemann surfaces
by - arXiv.org
An introduction to the geometry of compact Riemann surfaces. Contents: Riemann surfaces; Functions and forms on Riemann surfaces; Abel map, Jacobian and Theta function; Riemann-Roch; Moduli spaces; Eigenvector bundles and solutions of Lax equations.
(5171 views)