S. Preston

activity

20072025

most citedGeometric investigations of a vorticity model equation

32 citations · 135 across the 28 of their papers we have counts for

collaborators

Showing 2014 · math.APShow all

2 papers · 2 filters

math.AP2014

Riemannian geometry of the contactomorphism group

David G. Ebin, Stephen C. Preston

We define a right-invariant Riemannian metric on the group of contactomorphisms and study its Euler-Arnold equation. If the metric is associated to the contact form, the Euler-Arno…

math.AP2014

One-parameter solutions of the Euler-Arnold equation on the contactomorphism group

Stephen C. Preston, Alejandro Sarria

We study solutions of the equation $g_{t} - g_{t y y} + 4 g^{2} - 4 g g_{y y} = y g g_{y y y} - y g_{y} g_{y y}, y \in R,$ which arises by considering solutions of the Euler-Arnold equa…