| 拟常曲率黎曼流形中子流形的几何不等式的一些注记 |
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| 引用本文： | 张攀,张量,宋卫东.拟常曲率黎曼流形中子流形的几何不等式的一些注记[J].数学杂志,2016,36(3):445-457. |
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| 作者姓名： | 张攀 张量 宋卫东 |
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| 作者单位： | 安徽师范大学数学计算机科学学院, 安徽 芜湖 241000,安徽师范大学数学计算机科学学院, 安徽 芜湖 241000,安徽师范大学数学计算机科学学院, 安徽 芜湖 241000 |
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| 基金项目： | Supported by the Foundation for Excellent Young Talents of Higher Education of Anhui Province (2011SQRL021ZD). |
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| 摘 要： | 本文研究了拟常曲率黎曼流形中子流形的Chen不等式.利用代数技巧,建立了Chen广义不等式、Chen-Ricci不等式和关于卷积函数和平均曲率平方的不等式,推广了Özgür和Chen的一些结果.
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| 关 键 词： | Chen不等式 Chen-Ricci不等式 卷积 拟常曲率 |
| 收稿时间： | 2013/10/29 0:00:00 |
| 修稿时间： | 2014/1/6 0:00:00 |
SOME REMARKS ON GEOMETRIC INEQUALITIES FOR SUBMANIFOLDS OF A RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE |
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| ZHANG Pan,ZHANG Liang and SONG Wei-dong.SOME REMARKS ON GEOMETRIC INEQUALITIES FOR SUBMANIFOLDS OF A RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE[J].Journal of Mathematics,2016,36(3):445-457. |
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| Authors: | ZHANG Pan ZHANG Liang and SONG Wei-dong |
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| Institution: | School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China,School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China and School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China |
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| Abstract: | In this paper, we study Chen''s inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature. By using algebraic techniques, we establish Chen''s general inequalities, Chen-Ricci inequalities and inequalities between the warping function and the squared mean curvature, which generalize several rusults of Özgür and Chen''s. |
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| Keywords: | Chen''s inequalities Chen-Ricci inequalities warped product quasi-constant curvature |
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