Surfaces with constant mean curvature 1/2 and genus one in H2xR
Differential Geometry
2013-05-21 v2
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.
Keywords
Cite
@article{arxiv.1212.2796,
title = {Surfaces with constant mean curvature 1/2 and genus one in H2xR},
author = {Julia Plehnert},
journal= {arXiv preprint arXiv:1212.2796},
year = {2013}
}