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arXiv · 2102.03153

Constant mean curvature surfaces based on fundamental quadrilaterals

Alexander I. Bobenko·Sebastian Heller·Nicholas Schmitt
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Abstract

We describe the construction of CMC surfaces with symmetries in $\mathbb S^3$ and $\mathbb R^3$ using a CMC quadrilateral in a fundamental tetrahedron of a tessellation of the space. The fundamental piece is constructed by the generalized Weierstrass representation using a geometric flow on the space of potentials.

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Alexander I. Bobenko, Sebastian Heller, Nicholas Schmitt. 2021-02-05. Constant mean curvature surfaces based on fundamental quadrilaterals. https://doi.org/10.1007/s11040-021-09397-z

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