Webs and projective structures on a plane
Differential Geometry
2013-03-21 v1
Abstract
We prove that there is a correspondence between projective structures defined by torsion-free connections with skew-symmetric Ricci tensor and Veronese webs on a plane. The correspondence is used to characterise the projective structures in terms of second order ODEs.
Keywords
Cite
@article{arxiv.1303.4912,
title = {Webs and projective structures on a plane},
author = {Wojciech Kryński},
journal= {arXiv preprint arXiv:1303.4912},
year = {2013}
}