32 citations · 135 across the 28 of their papers we have counts for
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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.DG2014
The Geometry of Axisymmetric Ideal Fluid Flows with Swirl
Pearce Washabaugh, Stephen C. Preston
The sectional curvature of the volume preserving diffeomorphism group of a Riemannian manifold can give information about the stability of inviscid, incompressible fluid flows…
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 which arises by considering solutions of the Euler-Arnold equa…