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arxiv: 1212.2796 · v2 · pith:XVWSVZ2Vnew · submitted 2012-12-12 · 🧮 math.DG

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

classification 🧮 math.DG
keywords surfacesconstantcurvaturegenush2xrmeanalexandrov-arise
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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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