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math.DG2021★ 1 cited
Compact Bonnet Pairs: isometric tori with the same curvatures
Alexander I. Bobenko, Tim Hoffmann, Andrew O. Sageman-Furnas
We explicitly construct a pair of immersed tori in three dimensional Euclidean space that are related by a mean curvature preserving isometry. These Bonnet pair tori are the first…
math.DG2021★ 6 cited
Constant mean curvature surfaces based on fundamental quadrilaterals
Alexander I. Bobenko, Sebastian Heller, Nicholas Schmitt
We describe the construction of CMC surfaces with symmetries in and using a CMC quadrilateral in a fundamental tetrahedron of a tessellation of the spac…