Constant mean curvature surfaces based on fundamental quadrilaterals

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Alexander I. Bobenko
  • Sebastian Heller
  • Nicholas Schmitt

Research Organisations

External Research Organisations

  • Technische Universität Berlin
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Details

Original languageEnglish
Article number37
JournalMathematical Physics Analysis and Geometry
Volume24
Issue number4
Publication statusPublished - 6 Nov 2021

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.

Keywords

    math.DG, Tesselations, Flat connections, CMC surface, DPW method

ASJC Scopus subject areas

Cite this

Constant mean curvature surfaces based on fundamental quadrilaterals. / Bobenko, Alexander I.; Heller, Sebastian; Schmitt, Nicholas.
In: Mathematical Physics Analysis and Geometry, Vol. 24, No. 4, 37, 06.11.2021.

Research output: Contribution to journal › Article › Research › peer review

Bobenko AI, Heller S, Schmitt N. Constant mean curvature surfaces based on fundamental quadrilaterals. Mathematical Physics Analysis and Geometry. 2021 Nov 6;24(4):37. doi: 10.1007/s11040-021-09397-z
Bobenko, Alexander I. ; Heller, Sebastian ; Schmitt, Nicholas. / Constant mean curvature surfaces based on fundamental quadrilaterals. In: Mathematical Physics Analysis and Geometry. 2021 ; Vol. 24, No. 4.
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