伪黎曼空间形式中类空子流形的Willmore泛函与Weyl泛函的不等式
An inequality between Willmore functional and Weyl functional for spacelike submanifolds in semi-Riemannian space forms
摘要
得到伪黎曼空间中类空子流形的Willmore泛函与Weyl泛函满足的一个不等式,并证明了等号成立当且仅当该类空子流形是全脐子流形.
An inequality between Willmore functional and Weyl functional for spacelike submanifolds in semi-Riemannian space forms is obtained,and it is proved that the equality holds if and only if the submanifold is a totally umbilic one.
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2012年第6期1-4,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)
甘肃省高等学校基本科研业务费资助项目
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