English

Contact structures of type $G_2$ associated to solutions of Noth's equation

Differential Geometry 2024-03-20 v1

Abstract

We establish a correspondence between solutions of Noth's equation, a non-linear ordinary differential equation that shows up in the theory of (2,3,5)(2,3,5)-distributions, and diffeomorphisms of any contact structure of type G2G_{2} to the standard one.

Keywords

Cite

@article{arxiv.2403.12479,
  title  = {Contact structures of type $G_2$ associated to solutions of Noth's equation},
  author = {Matthew Randall},
  journal= {arXiv preprint arXiv:2403.12479},
  year   = {2024}
}

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19 pages