Minimal Surfaces with Catenoid Ends
Differential Geometry
2008-04-29 v1
Abstract
In this paper, we use the conjugate surface construction to prove the existence of certain non-periodic symmetric immersed minimal surfaces. These surfaces have finite total curvature and embedded catenoid ends, and they have positive genus yet maintain the symmetry of their genus-zero counterparts constructed by Jorge-Meeks and Xu.
Cite
@article{arxiv.0804.4203,
title = {Minimal Surfaces with Catenoid Ends},
author = {Jorgen Berglund and Wayne Rossman},
journal= {arXiv preprint arXiv:0804.4203},
year = {2008}
}