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arXiv · 1908.02722

Integrable Geometric Flows for Curves in the Pseudoconformal 3-Sphere

Annalisa Calini·Thomas Ivey
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Abstract

We consider evolution equations for curves in the 3-dimensional sphere $S^3$ that are invariant under the group $SU(2,1)$ 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.

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Annalisa Calini, Thomas Ivey. 2019-08-07. Integrable Geometric Flows for Curves in the Pseudoconformal 3-Sphere. https://arxiv.org/abs/1908.02722

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