4 papers
A Monge normal form for the rolling distribution
Matthew Randall
Using a parametrisation of given by the second prolongation of the group action of unimodular fractional linear transformations as presented in an article of Clarkson and Ol…
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 and naturally show up in the conformal…
Automorphisms and transformations of solutions to the generalised Chazy equation for various parameters
Matthew Randall
We analyse the automorphisms of solutions to Chazy's equation and the generalised Chazy equation for the parameters and . These automorphisms are induced by triangular…
Automorphism of solutions to Ramanujan's differential equations and other results
Matthew Randall
In part one we prove a theorem about the automorphism of solutions to Ramanujan's differential equations. We also investigate possible applications of the result. In part two we pr…