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

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1. Verfasser: Randall, Matthew
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Veröffentlicht: 2024
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author Randall, Matthew
author_facet Randall, Matthew
contents We establish a correspondence between solutions of Noth's equation, a non-linear ordinary differential equation that shows up in the theory of $(2,3,5)$-distributions, and diffeomorphisms of any contact structure of type $G_{2}$ to the standard one.
format Preprint
id arxiv_https___arxiv_org_abs_2403_12479
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Contact structures of type $G_2$ associated to solutions of Noth's equation
Randall, Matthew
Differential Geometry
We establish a correspondence between solutions of Noth's equation, a non-linear ordinary differential equation that shows up in the theory of $(2,3,5)$-distributions, and diffeomorphisms of any contact structure of type $G_{2}$ to the standard one.
title Contact structures of type $G_2$ associated to solutions of Noth's equation
topic Differential Geometry
url https://arxiv.org/abs/2403.12479