Limit sets for complete minimal immersions
微分几何
2007-05-23 v3
摘要
In this paper we study the behaviour of the limit set of complete proper compact minimal immersions in a regular domain G of R^3. We prove that the second fundamental form of the boundary surface of G is nonnegatively defined at every point of the limit set of such immersions.
关键词
引用
@article{arxiv.math/0612149,
title = {Limit sets for complete minimal immersions},
author = {A. Alarcon and N. Nadirashvili},
journal= {arXiv preprint arXiv:math/0612149},
year = {2007}
}
备注
8 pages, 3 figures. To appear in Math. Z