| 空间形式中常数量率的子流形 |
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| 引用本文： | 宣满友,盛为民.空间形式中常数量率的子流形[J].应用数学,2003,16(4):96-100. |
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| 作者姓名： | 宣满友 盛为民 |
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| 作者单位： | 1. 绍兴文理学院理学系,浙江,绍兴,312000
2. 浙江大学数学系,浙江,杭州,310028 |
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| 基金项目： | SupportedbyZhejiangProvincialNaturalScienceFoundationofChina( 10 2 0 33) |
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| 摘 要： | 本文利用一个类似于Cheng和Yau引进的微分算子的新微分算子，得到了单位球面中常数量率的紧致子流形的一个刚性结果．
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| 关 键 词： | 空间形式 常数量率 子流形 全脐子流形 紧致流形 微分算子 刚性 Riemann流形 |
Submanifolds with Constant Scalar Curvature in Space Forms |
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| XUAN Manyou ,SHENG Weimin.Submanifolds with Constant Scalar Curvature in Space Forms[J].Mathematica Applicata,2003,16(4):96-100. |
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| Authors: | XUAN Manyou SHENG Weimin |
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| Institution: | XUAN Manyou 1,SHENG Weimin 2 |
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| Abstract: | In this paper by use of a new differential op erator similar as one introduced by Cheng and Yau,we obtain a rigidity result fo r a compact submanifold of constant scalar curvature in a unit sphere. |
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| Keywords: | Submanifold Constant scalar curvature Space form Totall y umbilical submanifold |
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