| 一类线性Weingarten子流形的分类问题 |
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| 引用本文： | 杨丹,丁宇,黄坤龙.一类线性Weingarten子流形的分类问题[J].沈阳大学学报,2014(4):338-341. |
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| 作者姓名： | 杨丹 丁宇 黄坤龙 |
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| 作者单位： | 沈阳大学师范学院,辽宁沈阳110044 |
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| 摘 要： | 主要研究了de Sitter空间中的线性Weingarten子流形,根据截面曲率对其进行分类.结果表明,这类子流形是全脐子流形或者是全脐子流形的乘积流形.
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| 关 键 词： | 数量曲率 平均曲率 线性Weingarten子流形 |
Classification Problem of a Kind of Linear Weingarten Submanifolds |
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| Yang Dan,Ding Yu,Huang Kunlong.Classification Problem of a Kind of Linear Weingarten Submanifolds[J].Journal of Shenyang University,2014(4):338-341. |
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| Authors: | Yang Dan Ding Yu Huang Kunlong |
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| Institution: | (Normal School, Shenyang University, Shenyang 110044, China) |
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| Abstract: | The linear Weingarten submanifolds in de Sitter space are studied and the classification is given according to the sectional curvature. The results show that this kind of submanifolds is totally umbilical submanifolds or the product of totally umbilical submanifolds. |
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| Keywords: | scalar curvature mean curvature linear Weingarten submanifolds |
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