| 关于子流形曲率张量模长的估计 |
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| 引用本文： | 朱业成. 关于子流形曲率张量模长的估计[J]. 安徽师范大学学报(自然科学版), 2010, 33(3): 214-217. DOI: 10.3969/j.issn.1001-2443.2010.03.003 |
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| 作者姓名： | 朱业成 |
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| 作者单位： | 安徽工业大学,数理学院,安徽,马鞍山,243002 |
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| 基金项目： | 安徽工业大学青年科研基金(QZ200918) |
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| 摘 要： | 研究了常曲率空间中极小子流形,用一种特殊的方法对其黎曼曲率张量和李奇曲率张量模长进行了估计,明确的算出了它们的上下确界,获得了两个相关结论.
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| 关 键 词： | 黎曼曲率 李奇曲率 极小子流形 |
Estimations on the Length of Submanifold Curvature Tersor |
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| ZHU Ye-cheng. Estimations on the Length of Submanifold Curvature Tersor[J]. Journal of Anhui Normal University(Natural Science Edition), 2010, 33(3): 214-217. DOI: 10.3969/j.issn.1001-2443.2010.03.003 |
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| Authors: | ZHU Ye-cheng |
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| Affiliation: | ZHU Ye-cheng(College of Mathematics , Physics,Anhui University of Technology,Maanshan 243002,China) |
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| Abstract: | In this article,the author studies the minimal submanifold of constant curvature manifold,estimates the length of its Riemann curvature tensor and Ricci curvature tensor with a special method and clearly calculates their supremum and infimum,then obtains two relevant conclusions. |
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| Keywords: | Rieman curvature Ricci curvature minimal submanifolds |
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