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: Riemann Surfaces, Dynamics and GeometryRiemann Surfaces, Dynamics and Geometry
by - Harvard University
This course will concern the interaction between: hyperbolic geometry in dimensions 2 and 3, the dynamics of iterated rational maps, and the theory of Riemann surfaces and their deformations. Intended for advanced graduate students.
(10016 views)
Book cover: A Course in Riemannian GeometryA Course in Riemannian Geometry
by - 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.
(7350 views)
Book cover: A Panoramic View of Riemannian GeometryA Panoramic View of Riemannian Geometry
by - 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.
(7599 views)
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.
(2573 views)