Symmetric (2,3,5) distributions, an interesting ODE of 7th order and Plebanski metric
Differential Geometry
2016-08-04 v2
Abstract
We show that the unique 7th order ODE having 10 contact symmetries appears naturally in the theory of generic 2-distributions in dimension five.
Keywords
Cite
@article{arxiv.1302.1910,
title = {Symmetric (2,3,5) distributions, an interesting ODE of 7th order and Plebanski metric},
author = {Daniel An and Pawel Nurowski},
journal= {arXiv preprint arXiv:1302.1910},
year = {2016}
}
Comments
In this version we added Section 4, which shows that Noth's equation is a common feature of G2 flatness for twistor distributions coming from Plebanski second heavenly metrics