The closure of spectral data for constant mean curvature tori in 𝕊3

Author:

Carberry Emma,Schmidt Martin Ulrich

Abstract

AbstractThe spectral curve correspondence for finite-type solutions of the sinh- Gordon equation describes how they arise from and give rise to hyperelliptic curves with a real structure. Constant mean curvature (CMC) 2-tori in

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Reference18 articles.

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2. On the classification of constant mean curvature tori in ℝ3${\mathbb{R}^{3}}$;Comment. Math. Helv.,1994

3. Surfaces of constant mean curvature and integrable equations;Russian Math. Surveys,1991

4. The geometric complexity of special Lagrangian T2${T^{2}}$-cones;Invent. Math.,2004

5. Flows of constant mean curvature tori in the 3-sphere: The equivariant case;J. reine angew. Math.,2013

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The space of equivariant harmonic tori in the 3-sphere;Journal of Geometry and Physics;2020-11

2. Whitham deformations and the space of harmonic tori in S3;Journal of the London Mathematical Society;2018-12-23

3. Periodic solutions of the sinh-Gordon equation and integrable systems;Differential Geometry and its Applications;2017-10

4. The prevalence of tori amongst constant mean curvature planes in R3;Journal of Geometry and Physics;2016-08

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