Adding one handle to half-plane layers
微分几何
2007-05-23 v1
摘要
In this paper, we build properly embedded singly periodic minimal surfaces which have infinite total curvature in the quotient by the period. These surfaces are constructed by adding a handle to the toroidal half-plane layers defined by H. Karcher. The technics that use is to solve a Jenkins-Serrin problem over a strip domain and to consider the conjugate minimal surface to the graph.
引用
@article{arxiv.math/0605674,
title = {Adding one handle to half-plane layers},
author = {Laurent Mazet},
journal= {arXiv preprint arXiv:math/0605674},
year = {2007}
}
备注
20 pages, 3 figures