| n维双曲空间中给定Gauss映照的曲面的Weierstrass表示 |
| |
| 引用本文： | 史淑国.n维双曲空间中给定Gauss映照的曲面的Weierstrass表示[J].数学年刊A辑(中文版),2004(3). |
| |
| 作者姓名： | 史淑国 |
| |
| 作者单位： | 复旦大学数学研究所 上海 |
| |
| 摘 要： | 将双曲上半空间Hn中的曲面视为Rn中的曲面,导出这两种共形浸入下平均曲率向量的关系;证明了这两种浸入下Gauss映照是一样的;给出Hn中给定Gauss映照的曲面的Weierstrass表示;证明了一个唯一性结果.
|
| 关 键 词： | 双曲空间 Gauss映照 Weierstrass表示 |
WEIERSTRASS REPRESENTATION FOR SURFACES OF PRESCRIBED GAUSS MAP IN THE HYPERBOLIC n-DIMENSIONAL SPACE |
| |
| SHI Shuguo Institute of Mathematics,Fudan University,Shanghai ,China..WEIERSTRASS REPRESENTATION FOR SURFACES OF PRESCRIBED GAUSS MAP IN THE HYPERBOLIC n-DIMENSIONAL SPACE[J].Chinese Annals of Mathematics,2004(3). |
| |
| Authors: | SHI Shuguo Institute of Mathematics Fudan University Shanghai China |
| |
| Institution: | SHI Shuguo Institute of Mathematics,Fudan University,Shanghai 200433,China. |
| |
| Abstract: | Considering the surfaces in hyperbolic space Hn as the ones in Rn, the author deduces the relation of mean curvature vectors about the two conformal immersions. The author proves that their Gauss map are same. The Weierstrass representation for surfaces of prescribed Gauss map in Hn and the result of uniqueness are obtained. |
| |
| Keywords: | Hyperbolic space Gauss map Weierstrass representation |
| 本文献已被 CNKI 等数据库收录！ |
