Journal of Nonlinear Mathematical Physics

Volume 28, Issue 1, March 2021, Pages 1 - 13

Nurowski’s Conformal Class of a Maximally Symmetric (2,3,5)-Distribution and its Ricci-flat Representatives

Authors
Matthew Randall*
Institute of Mathematical Sciences, ShanghaiTech University, 393 Middle Huaxia Road, Shanghai 201210, China
Corresponding Author
Matthew Randall
Received 2 September 2019, Accepted 23 January 2020, Available Online 10 December 2020.
DOI
https://doi.org/10.2991/jnmp.k.200922.001How to use a DOI?
Keywords
(2,3,5)-distributions, Nurowski’s conformal structure, generalised Chazy equation
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 φ(x,q)=q2H(x) ) to a Ricci-flat one.

Copyright
© 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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
28 - 1
Pages
1 - 13
Publication Date
2020/12
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.k.200922.001How to use a DOI?
Copyright
© 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
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  - https://doi.org/10.2991/jnmp.k.200922.001
ID  - Randall2020
ER  -