| 双曲空间中极小子流形刚性的一些注记 |
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| 引用本文： | 周俊东.双曲空间中极小子流形刚性的一些注记[J].吉林大学学报(理学版),2017,55(3):609-612. |
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| 作者姓名： | 周俊东 |
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| 作者单位： | 阜阳师范学院 数学与统计学院, 安徽 阜阳 236037 |
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| 摘 要： | 利用调和函数理论,考虑双曲空间中的完备极小子流形.证明了在第二基本形式模长平方上确界小于n(n-4)/4的条件下,或者子流形Ricci曲率的下确界大于-n(n-1)/4的条件下,子流形仅有一个端.
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| 关 键 词： | 非平凡调和函数 双曲空间 第二基本形式模长 |
| 收稿时间： | 2016-08-29 |
Some Notes on Rigidity of MinimalSubmanifoldsin Hyperbolic Space |
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| ZHOU Jundong.Some Notes on Rigidity of MinimalSubmanifoldsin Hyperbolic Space[J].Journal of Jilin University: Sci Ed,2017,55(3):609-612. |
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| Authors: | ZHOU Jundong |
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| Institution: | School of Mathematics and Statistics, Fuyang Normal University, Fuyang 236037, Anhui Province, China |
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| Abstract: | The author considered a complete minimal submanifold inhyperbolic space by using the theory of harmonic functions, and proved that there was only one end of the submanifold, if supremum of the length of the second fundamental form was less than n(n-4)/4, either infimum of Ricci curvature of the submanifold was greater than -n(n-1)/4. |
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| Keywords: | nontrivial harmonic function length of the second fundamental form hyperbolic space |
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