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Integrable Geometric Flows for Curves in the Pseudoconformal 3-Sphere
- Publication Year :
- 2019
-
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.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1908.02722
- Document Type :
- Working Paper