| 常曲率空间中伪脐2-调和子流形(英文) |
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| 引用本文： | 独力,张娟. 常曲率空间中伪脐2-调和子流形(英文)[J]. 数学季刊, 2012, 0(3): 432-438 |
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| 作者姓名： | 独力 张娟 |
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| 作者单位： | Department of Mathematics, Dingxi Teacher’s College |
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| 基金项目： | Supported by the NNSF of China(71061012);Supported by the Young Talents Project of Dingxi Teacher’s College(2012-2017) |
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| 摘 要： | The conjecture [1] asserts that any biharmonic submanifold in sphere has constant mean curvature. In this paper, we first prove that this conjecture is true for pseudo-umbilical biharmonic submanifolds M n in constant curvature spaces S n+p (c)(c > 0), generalizing the result in [1]. Secondly, some sufficient conditions for pseudo-umbilical proper biharmonic submanifolds M n to be totally umbilical ones are obtained.
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| 关 键 词： | constant curvature spaces pseudo-umbilical proper biharmonic submanifolds |
Pseudo-umbilical Biharmonic Submanifolds in Constant Curvature Spaces |
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| DU Li, ZHANG Juan. Pseudo-umbilical Biharmonic Submanifolds in Constant Curvature Spaces[J]. Chinese Quarterly Journal of Mathematics, 2012, 0(3): 432-438 |
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| Authors: | DU Li ZHANG Juan |
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| Affiliation: | (Department of Mathematics, Dingxi Teacher’s College, Dingxi 743000, China ) |
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