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关于拟常曲率空间的伪脐子流形
Pseudoumbilical Submanifolds in a Riemann Manifold of Quasi Constant Curvature
【摘要】 讨论了拟常曲率空间具有平行平均曲率向量的紧致伪脐子流形,得到这类子流形关于第二基本形式模长的平方σ、Ricc曲率及数量曲率的若干拼挤定理.
【Abstract】 Let Mn be a compact pseudoumbilical submanifold with parellel mean curvature in a Riemann manifold Nn+p of quasi constant curvature and the paper.Obtains a few pinching theorems about pseudoumbilical submanifolds.
【关键词】 拟常曲率空间;
平行平均曲率向量;
全脐子流形;
【Key words】 quasi constant curvature; parallel mean curvature vector; totally umbilic;
【Key words】 quasi constant curvature; parallel mean curvature vector; totally umbilic;
- 【文献出处】 安徽师范大学学报(自然科学版) ,Journal of Anhui Normal University(Natural Science) , 编辑部邮箱 ,2006年04期
- 【分类号】O186.1
- 【被引频次】5
- 【下载频次】53