Reductive homogeneous spaces and nonassociative algebras
Differential Geometry
2019-09-06 v3
Abstract
The purpose of these survey notes is to give a presentation of a classical theorem of Nomizu that relates the invariant affine connections on reductive homogeneous spaces and nonassociative algebras.
Cite
@article{arxiv.1503.03227,
title = {Reductive homogeneous spaces and nonassociative algebras},
author = {Alberto Elduque},
journal= {arXiv preprint arXiv:1503.03227},
year = {2019}
}
Comments
28 pages. The first version constituted the notes of a course given at the CIMPA research school "G\'eom\'etrie diff\'erentielle et alg\`ebres non associatives", held in Marrakech, April 13-24, 2015