Trigonal minimal surfaces in flat tori
微分几何
2007-05-23 v2
摘要
In this paper, we study trigonal minimal surfaces in flat tori. First, we show a topological obstruction similar to that of hyperelliptic minimal surfaces. Actually, the genus of trigonal minimal surface in 3-dimensional flat torus must be 1 (mod 3). Next, we construct an explicit example in the higher codimensional case. This surface satisfies good properties and is theoretically distinct from traditional examples.
引用
@article{arxiv.math/0703622,
title = {Trigonal minimal surfaces in flat tori},
author = {Toshihiro Shoda},
journal= {arXiv preprint arXiv:math/0703622},
year = {2007}
}
备注
21pages. to appear in Pacific Journal of Mathematics