给定平均曲率的旋转超曲面
微分几何
2019-02-26 v1 经典分析与常微分方程
摘要
我们利用相空间分析，对中平均曲率由其Gauss映射的给定函数表示的旋转超曲面给出若干分类结果。对于给定函数为中偶函数的情形，我们证明此类超曲面成立Delaunay型分类。我们还给出例子表明给定（非常数）平均曲率的旋转超曲面的性态远比常平均曲率情形丰富。
引用
@article{arxiv.1902.09405,
title = {Rotational hypersurfaces of prescribed mean curvature},
author = {Antonio Bueno and Jose A. Galvez and Pablo Mira},
journal= {arXiv preprint arXiv:1902.09405},
year = {2019}
}
备注
23 pages, 30 figures. The results of this paper were originally contained in our previous posting arXiv:1802.08146 which, because of its length and following the editor's suggestion, has now been divided into two papers; the present paper is one of them