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arXiv · 1212.2796

Surfaces with constant mean curvature 1/2 and genus one in H2xR

Julia Plehnert
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Abstract

We construct new constant mean curvature surfaces in H2xR. They arise as sister surfaces of Plateau solutions. It is a family of MC 1/2 surfaces with k ends, genus 1 and k-fold dihedral symmetry, k greater 2. The surfaces are Alexandrov- embedded.

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Julia Plehnert. 2013-05-20. Surfaces with constant mean curvature 1/2 and genus one in H2xR. https://arxiv.org/abs/1212.2796

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