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伪黎曼流形中具有平行第二基本形式的子流形

Submanifolds with Parallel Second Fundamental Form in Pseudo-riemannian Manifolds
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摘要 讨论了伪黎曼流形中具有平行第二基本形式的类空子流形,得到了它的第二基本形式模长平方有界的一个拼挤条件,推广了已有结论. Space-like submanifolds with parallel second fundamental form in Pseudo Riemannian manifolds are studied, a pinched condition for the squared length of the second fundamental form of such submanifolds to be bounded from above is obtained,generalizing the existed result.
出处 《甘肃高师学报》 2015年第2期1-3,共3页 Journal of Gansu Normal Colleges
基金 定西师专青年人才工程资助计划 定西师专青年项目(1333)
关键词 伪黎曼流形 平行第二基本形式 类空子流形 pseudo-riemannian manifold parallel second fundamental form space-like submanifolds
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