A note on locally metric connections
Differential Geometry
2016-09-13 v2
Abstract
In this paper we give necessary and sufficient conditions for a connection in a plane bundle above a surface to be locally metric. These conditions are easy to be verified in any local chart. Also as a global result we give a necessary condition for two connections to be metric equivalent in terms of their Euler class.
Keywords
Cite
@article{arxiv.1606.05813,
title = {A note on locally metric connections},
author = {Mihail Cocos},
journal= {arXiv preprint arXiv:1606.05813},
year = {2016}
}