DPW potentials for compact symmetric CMC surfaces in S3

JOURNAL OF GEOMETRY AND PHYSICS

卷:156

Article

Manca, Benedetto¹ 

[1] Univ Cagliari, Dipartimento Matemat & Informat, Via Osped 72, I-09124 Cagliari, Italy

关键词: Differential geometry;    Algebraic geometry;    CMC surfaces;    Integrable systems;   

DOI  :  10.1016/j.geomphys.2020.103791

来源: Elsevier

【 摘 要 】

Inspired by the work of Heller (2013), we show that there exists a DPW potential for the Lawson surface xi(k-1,l-1) from which it is possible to reconstruct the minimal immersion f : xi(k-1,l-1) -> S-3 via the DPW method. Moreover, we extend the result to surfaces immersed in the 3-sphere with constant mean curvature which satisfy a certain symmetric condition. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free