Abstract
AbstractWe describe the construction of CMC surfaces with symmetries in $\mathbb {S}^{3}$
S
3
and $\mathbb {R}^{3}$
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.
Funder
Gottfried Wilhelm Leibniz Universität Hannover
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Mathematical Physics
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