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: Riemannian Geometry: Definitions, Pictures, and ResultsRiemannian Geometry: Definitions, Pictures, and Results
by - 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.
(6337 views)
Book cover: Treatise on Differential Geometry and its role in Relativity TheoryTreatise on Differential Geometry and its role in Relativity Theory
by - arXiv.org
These notes will be helpful to undergraduate and postgraduate students in theoretical physics and in applied mathematics. Modern terminology in differential geometry has been discussed in the book with the motivation of geometrical way of thinking.
(2458 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.
(9124 views)
Book cover: An Introduction to Riemannian GeometryAn Introduction to Riemannian Geometry
by - 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.
(13851 views)