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arXiv · 2005.08552

DPW Potentials for Compact Symmetric CMC Surfaces in $\mathbb{S}^3$

Benedetto Manca
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Abstract

Inspired by the work of Heller [12], 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 $f: \xi_{k-1, l-1} \to \mathbb{S}^3$ 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.

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Benedetto Manca. 2020-05-18. DPW Potentials for Compact Symmetric CMC Surfaces in $\mathbb{S}^3$. https://doi.org/10.1016/j.geomphys.2020.103791

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