Riemannian geometry as a curved pre-homogeneous geometry
Differential Geometry
2010-03-17 v1
Abstract
We define a Riemannian structure as a pre-homogeneous geometric structure with curvature R. We show that R=0 if and only if the underlying metric has constant curvature. We define pre-homogeneous geometric structures and pose some problems.
Cite
@article{arxiv.1003.3220,
title = {Riemannian geometry as a curved pre-homogeneous geometry},
author = {Ercument Ortacgil},
journal= {arXiv preprint arXiv:1003.3220},
year = {2010}
}
Comments
29 pages