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Constant Mean Curvature Surfaces Based on Fundamental Quadrilaterals

Bobenko, Alexander I.; Heller, Sebastian; Schmitt, Nick

We describe the construction of CMC surfaces with symmetries in S3 and R3 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.
Published in: Mathematical Physics, Analysis and Geometry, 10.1007/s11040-021-09397-z, Springer Nature