Matthew Randall

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20182021

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math.DG2021

Local equivalence of some maximally symmetric $(2, 3, 5)$ -distributions II

Matthew Randall

We show the change of coordinates that maps the maximally symmetric $(2, 3, 5)$ -distribution given by solutions to the $k = \frac{2}{3}$ and $k = \frac{3}{2}$ generalised Chazy equation…

math.DG2021

Local equivalence of some maximally symmetric $(2, 3, 5)$ -distributions

Matthew Randall

Using a complex parametrisation of $s u (2)$ , we show a change of coordinates that maps the maximally symmetric rolling $(2, 3, 5)$ -distribution to the flat Cartan distribution. This e…

math.DG2021

A Monge normal form for the rolling distribution

Matthew Randall

Using a parametrisation of $s l_{2}$ given by the second prolongation of the group action of unimodular fractional linear transformations as presented in an article of Clarkson and Ol…

math.DG2019

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

Matthew Randall

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…

Local equivalence of some maximally symmetric (2,3,5)-distributions II

Local equivalence of some maximally symmetric (2,3,5)-distributions

A Monge normal form for the rolling distribution

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

Local equivalence of some maximally symmetric $(2, 3, 5)$ -distributions II

Local equivalence of some maximally symmetric $(2, 3, 5)$ -distributions