| 平行Ricci曲率黎曼流形中具有平行中曲率向量的子流形 |
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| 引用本文： | 何水军,陈抚良,段仁杰.平行Ricci曲率黎曼流形中具有平行中曲率向量的子流形[J].江西科学,2011,29(3):313-316. |
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| 作者姓名： | 何水军 陈抚良 段仁杰 |
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| 作者单位： | 江西师范大学数信学院,江西南昌,330022 |
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| 摘 要： | 研究了具有平行Ricci曲率黎曼流形中具有平行中曲率向量的子流形.获得了J.8imons型积分不等式,推广了局部对称空间该类子流形的相关结果.
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| 关 键 词： | 平行Ricci曲率 平行中曲率向量 积分不等式 |
Submanifolds with Parallel Mean Curvature Vector in a Riemannian Manifolds with Parallel Ricci Curvature |
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| HE Shui-jun,CHEN Fu-liang,DUAN Ren-jie.Submanifolds with Parallel Mean Curvature Vector in a Riemannian Manifolds with Parallel Ricci Curvature[J].Jiangxi Science,2011,29(3):313-316. |
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| Authors: | HE Shui-jun CHEN Fu-liang DUAN Ren-jie |
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| Institution: | (College of Mathematics and Information Science,Jiangxi Normal University,Jiangxi Nanchang 330022 PRC) |
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| Abstract: | We study the submanifolds with parallel mean curvature vector in a Riemannian manifolds with parallel Ricci curvature.We obtain an integral inequality of simons′type.The result of submanifolds with parallel mean curvature vector in a locally symmetric δ-pinching Riemannian manifold is generalized. |
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| Keywords: | Parallel Ricci curvature Parallel mean curvature vector Integral inequality |
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