Nurowski’s Conformal Class of a Maximally Symmetric (2,3,5)-Distribution and its Ricci-flat Representatives
- 10.2991/jnmp.k.200922.001How to use a DOI?
- (2,3,5)-distributions; Nurowski’s conformal structure; generalised Chazy equation
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 ) to a Ricci-flat one.
- © 2020 The Author. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Matthew Randall PY - 2020 DA - 2020/12/10 TI - Nurowski’s Conformal Class of a Maximally Symmetric (2,3,5)-Distribution and its Ricci-flat Representatives JO - Journal of Nonlinear Mathematical Physics SP - 1 EP - 13 VL - 28 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.k.200922.001 DO - 10.2991/jnmp.k.200922.001 ID - Randall2020 ER -