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黎曼空间型中具有常数量曲率的超曲面的刚性

Rigidity of hypersurfaces with constant scalar curvature in Riemannian space forms
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摘要 设Mn为等距浸入到黎曼空间型Nn+1(c)中的具有常数量曲率的紧致超曲面,得到了数量曲率的一个估计,并应用它证明了该类超曲面的一个刚性分类结果. The compact hypersurfaces with constant scalar curvature in a Riemannian space form arestudied, and an estimate of constant scalar curvature is obtained. As a result of this estimation, a rigidity theorem of such hypersurfaces is proved.
作者 刘建成 谢逊
机构地区 西北师范大学数学与统计学院
出处 《西北师范大学学报（自然科学版）》 CAS 北大核心 2015年第6期17-20,共4页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(11261051)
关键词 黎曼空间型 数量曲率 紧致 超曲面 Riemannian space form scalar curvature compact hypersurface
分类号 O186.12 [理学—基础数学]
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参考文献15

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二级参考文献21

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共引文献1

西北师范大学学报（自然科学版）
2015年 第6期

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