On Two Conjectures Concerning the Veronese
Generating submanifolds
宋鸿藻;胡泽军
【期刊名称】《数学季刊：英文版》 【年(卷),期】1993(008)002
【摘要】The notion of finite type submanifolds was introduced by B.Y.Chen.In this paper the con-jectures on scalar curvature of Veronses generating submanifolds in E6 and the minimal conjecture on Veronese space-like submanifold ∑ and Veronese pseudo-Riemannian submanifold-↑∑ in E16 are proved.We have ∑ is minimal in H5.-↑∑ is minimal in S15,∑ and -↑∑ are of 1-type in E16. 【总页数】5页(17-21)
【关键词】Veronese主成子流形;极小子流形;有限子流形;纯量曲率;Ricci张量;Veronese类空子流形;Hyperbolic空间;伪黎曼子流形 【作者】宋鸿藻;胡泽军 【
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HenanUniversity,Kaifeng,475001;ZhengzhouUnicersity,450052 【正文语种】英文 【中图分类】O189.31 【相关文献】
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On Two Conjectures Concerning the Veronese Generating submanifolds
