Compactness of the space of genus-one helicoids
Differential Geometry
2009-07-06 v1
Abstract
Using the lamination theory developed by Colding and Minicozzi for sequences of embedded, finite genus minimal surfaces with boundaries going to infinity \cite{CM5}, we show that the space of genus-one helicoids is compact (modulo rigid motions and homotheties). This generalizes a result of Hoffman and White \cite{HW}.
Keywords
Cite
@article{arxiv.0907.0518,
title = {Compactness of the space of genus-one helicoids},
author = {Jacob Bernstein and Christine Breiner},
journal= {arXiv preprint arXiv:0907.0518},
year = {2009}
}
Comments
14 pages, 2 figures