Skewable matrices over $\wedge^2 V$ applied to locally metric connections
Differential Geometry
2016-07-20 v1
Abstract
A necessary condition for a connection in a vector bundle to be locally metric is for its curvature matrix, which consists of forms, to be skew symmetric with respect to some local frame. In this paper we give a simple algorithm that can be used to decide when a matrix of forms is equivalent to a skew symmetric matrix. We apply this algorithm to verify whether a "{\it full rank}" curvature connection is locally metric.
Keywords
Cite
@article{arxiv.1607.05662,
title = {Skewable matrices over $\wedge^2 V$ applied to locally metric connections},
author = {Mihail Cocos and Kent Kidman},
journal= {arXiv preprint arXiv:1607.05662},
year = {2016}
}