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关于伪黎曼空间形式中类空子流形Chen不等式的两个结果

Two results on Chen's inequalities for spacelike submanifolds of a pseudo-Riemannian space form
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摘要 研究了伪黎曼空间形式中类空子流形δ-不变量δM的不等式中等号成立的情况,并将其推广为关于广义δ-不变量δ(n_1,…,n_k)的不等式,并且给出了满足不等式的一些例子。 The equality case of the inequality which concerns Chens δ-invariant δM for spacelike submanifolds of a pseudoRiemannian space form. Then the inequality involving the generalized δ-invariant δ( n_1,…,n_k) is generalized. Moreover,some examples are provided which satisfy the inequality.
作者 苏曼 张量
机构地区 安徽师范大学数学计算机科学学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2016年第10期59-64,共6页 Journal of Shandong University(Natural Science)
基金 安徽省高校优秀青年人才基金(2011SQRL021ZD)
关键词 伪黎曼空间形式 类空子流形 不等式 爱因斯坦流形 pseudo-Riemannian space form spacelike submanifold inequality Einstein manifold
分类号 O186.12 [理学—基础数学]
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参考文献12

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  • 2李光汉,吴传喜.SLANT IMMERSIONS OF COMPLEX SPACE FORMS AND CHEN'S INEQUALITY[J].Acta Mathematica Scientia,2005,25(2):223-232. 被引量：10
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  • 5Bang-Yen Chen.Some new obstructions to minimal and Lagrangian isometric immersions. Jap. J. Math., New Ser . 2000
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二级参考文献21

  • 1李光汉,吴传喜.SLANT IMMERSIONS OF COMPLEX SPACE FORMS AND CHEN'S INEQUALITY[J].Acta Mathematica Scientia,2005,25(2):223-232. 被引量：10
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共引文献11

山东大学学报（理学版）
2016年 第10期

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