Symmetric (2,3,5) distributions, an interesting ODE of 7th order and Plebanski metric

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.

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

Cited by in corpus (1)

• Flat $(2,3,5)$-Distributions and Chazy's Equations