Homogeneous surfaces admitting invariant connections
Differential Geometry
2019-05-15 v1
Abstract
We compute all the simply connected homogeneous and infinitesimally homogeneous surfaces admitting one or more invariant affine connections. We find exactly six non equivalent simply connected homogeneous surfaces admitting more than one invariant connections and four classes of simply connected homogeneous surfaces admitting exactly one invariant connection.
Cite
@article{arxiv.1905.05349,
title = {Homogeneous surfaces admitting invariant connections},
author = {David Blázquez-Sanz and Carlos Alberto Marín Arango and Luis Fernando Jiménez Buitrago},
journal= {arXiv preprint arXiv:1905.05349},
year = {2019}
}