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arXiv · 1903.02245

Nurowski's conformal class of a maximally symmetric (2,3,5)-distribution and its Ricci-flat representatives

Matthew Randall
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Abstract

We show that the solutions to the second-order differential equation associated to the generalised Chazy equation with parameters $k=2$ and $k=3$ naturally show up in the conformal rescaling that takes a representative metric in Nurowski's conformal class associated to a maximally symmetric $(2,3,5)$-distribution (described locally by a certain function $\varphi(x,q)=\frac{q^2}{H''(x)}$) to a Ricci-flat one.

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Matthew Randall. 2019-03-06. Nurowski's conformal class of a maximally symmetric (2,3,5)-distribution and its Ricci-flat representatives. https://arxiv.org/abs/1903.02245

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