A Global Rigidity Theorem for the Length of Concircular Curvature Tensor on the Locally Conformally Symmetric Riemannian Manifold

Shipei HU

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A Global Rigidity Theorem for the Length of Concircular Curvature Tensor on the Locally Conformally Symmetric Riemannian Manifold

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In this paper, we study the locally conformally symmetric closed Riemannian manifold, and establish a global rigidity theorem for the length of the concircular curvature vector.

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《数学研究及应用》 |2020年第2期|187-195|共9页
作者
Shipei HU;
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作者单位

Department of Mathematics;

Jiaxing University;

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正文语种 chi
中图分类黎曼几何;张量分析;
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1. A Pinching Theorem for Riemannian Foliations with Parallel Mean Curvature in a Local-Symmetric Riemannian Manifold [J] . PENG Hui Chun ,LI Zhi Bo . 数学研究与评论 . 2008,第002期
2. On Submanifolds in Locally Symmetric and Conformally Flat Riemannian Manifolds [J] . 孙华飞 ,汤莉 ,陈春 . 北京理工大学学报：英文版 . 2005,第2期
3. Weak Convergence Theorems of Modified Ishikawa Iteration in Hilbert Spaces [C] . Qiansheng FENG ,Yongfu SU ,Fangfang YAN . 第三届国际信息技术与管理科学学术研讨会 . 2011
4. Some Aspects of Geometry and Analysis in Sub-Riemannian Manifolds [A] . 谭康海 . 2004

A Global Rigidity Theorem for the Length of Concircular Curvature Tensor on the Locally Conformally Symmetric Riemannian Manifold

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