Integrable Geometric Flows for Curves in the Pseudoconformal 3-Sphere
Differential Geometry
2019-08-08 v1 Exactly Solvable and Integrable Systems
Abstract
We consider evolution equations for curves in the 3-dimensional sphere that are invariant under the group of pseudoconformal transformations, which preserves the standard contact structure on the sphere. In particular, we investigate how invariant evolutions of Legendrian and transverse curves induce well-known integrable systems and hierarchies at the level of their geometric invariants.
Keywords
Cite
@article{arxiv.1908.02722,
title = {Integrable Geometric Flows for Curves in the Pseudoconformal 3-Sphere},
author = {Annalisa Calini and Thomas Ivey},
journal= {arXiv preprint arXiv:1908.02722},
year = {2019}
}