Surfaces via spinors and soliton equations
Differential Geometry
2024-01-08 v1 Analysis of PDEs
Exactly Solvable and Integrable Systems
Abstract
This article surveys the Weierstrass representation of surfaces in the three- and four-dimensional spaces, with an emphasis on its relation to the Willmore functional. We also describe an application of this representation to constructing a new type of solutions to the Davey-Stewartson II equation. They have regular initial data, gain one-point singularities at certain moments of time, and extend to smooth solutions for the remaining times.
Cite
@article{arxiv.2207.07856,
title = {Surfaces via spinors and soliton equations},
author = {Iskander A. Taimanov},
journal= {arXiv preprint arXiv:2207.07856},
year = {2024}
}
Comments
18 pages