A uniqueness theorem for the singly periodic genus-one helicoid
微分几何
2007-05-23 v2
摘要
The singly periodic genus-one helicoid was in the origin of the discovery of the first example of a complete minimal surface with finite topology but infinite total curvature, the celebrated Hoffman-Karcher-Wei's genus one helicoid. The objective of this paper is to give a uniqueness theorem for the singly periodic genus-one helicoid provided the existence of one symmetry.
引用
@article{arxiv.math/0505412,
title = {A uniqueness theorem for the singly periodic genus-one helicoid},
author = {A. Alarcon and L. Ferrer and F. Martin},
journal= {arXiv preprint arXiv:math/0505412},
year = {2007}
}
备注
12 pages, 6 figures