| 有界F-支撑函数和类空Wulff形 |
| |
| 引用本文： | 张远征.有界F-支撑函数和类空Wulff形[J].数学学报,2016,59(1):37-46. |
| |
| 作者姓名： | 张远征 |
| |
| 作者单位： | 上海财经大学数学学院 上海 200433 |
| |
| 摘 要： | 给定H_+~n上适合凸条件的正函数F,对L~(n+1)中具有非退化Gauss映射的类空超曲面引入了Θ_F曲率.对适当的F,本文证得:具有常Θ_F曲率,且F-支撑函数介于两个负常数之间的类空超曲面必是类空Wulff形.在F=1的情况下,对H_i/H_n为常数的类空超曲面也建立了类似的唯一性结果.
|
| 关 键 词： | 类空Wulff形 F-支撑函数 广义极大原理 |
Bounded F-Support Function and the Space-Like Wulff Shape |
| |
| Yuan Zheng ZHANG.Bounded F-Support Function and the Space-Like Wulff Shape[J].Acta Mathematica Sinica,2016,59(1):37-46. |
| |
| Authors: | Yuan Zheng ZHANG |
| |
| Institution: | School of Mathematics, Shanghai University of Finances and Economics, Shanghai 200433, P. R. China |
| |
| Abstract: | Given a positive function F on Hn+ which satisfies a convexity condition, we introduce an extrinsic curvature ΘF for spacelike hypersurfaces with regular Weingarten operator in Ln+1. For certain F, we show that the only spacelike hypersurfaces having constant ΘF and F-support function bounded between two negatives are the spacelike Wulff shapes. In case F= 1, we also get the same uniqueness result for the spacelike hypersurfaces with Hi/Hn =const. |
| |
| Keywords: | space-like Wulff shape F-support function generalized maximal principal |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
|
