An embedded genus-one helicoid
微分几何
2009-11-10 v2
摘要
There exists a properly embedded minimal surface of genus one with one end. The end is asymptotic to the end of the helicoid. This genus one helicoid is constructed as the limit of a continuous one-parameter family of screw-motion invariant minimal surfaces--also asymptotic to the helicoid--that have genus equal to one in the quotient.
引用
@article{arxiv.math/0401080,
title = {An embedded genus-one helicoid},
author = {Matthias Weber and David Hoffman and Michael Wolf},
journal= {arXiv preprint arXiv:math/0401080},
year = {2009}
}
备注
115 pages, many figures Minor exposiitonal changes and added references