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S<sup>m+p中子流形上的一个不等式

An Inequality on the Submanifolds of S<sup>m+p
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摘要 设x:Mm→Sm+p(m≥2;p≥2)是m+p维单位球Sm+p中的一个m维无脐点子流形,Mm上的MO¨bius第二基本形式B是Mm在Sm+p中的MO¨bius变换群下的不变量,本文得到不等式,证明了等号成立的条件。 Let x:Mm→Sm+p(m≥2;p≥2) be an m-dimensional no umbilical submaniods in m+p-dimensional unit sphere Sm+p. The MO¨bius second basic from B of Mm is the invariant of under the group of MO¨bius transformations in Sm+p. We obtain inequality . The conditions for the equality sign are proved.
作者 马江涛
出处 《理论数学》 2022年第6期971-980,共10页 Pure Mathematics
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参考文献1

  • 1Hai Zhong LI Department of Mathematics, Tsinghua University. Beijing 100084. P. R. China Hui Li LIU Department of Mathematics, Northeastern University. Shenyang 110000. P. R. China Chang Ping WANG Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences. Peking University, Beijing 100871, P. R. China Guo Song ZHAO Department of Mathematics, Sichuan University, Chengdu 610064. P. R. China.Mobius Isoparametric Hypersurfaces in S^(n+1) with Two Distinct Principal Curvatures[J].Acta Mathematica Sinica,English Series,2002,18(3):437-446. 被引量:55

二级参考文献3

  • 1Hans Friedrich Münzner.Isoparametrische Hyperfl?chen in Sph?ren[J].Mathematische Annalen.1981(2)
  • 2Hans Friedrich Münzner.Isoparametrische Hyperfl?chen in Sph?ren[J].Mathematische Annalen.1980(1)
  • 3Thomas E. Cecil,Patrick J. Ryan.Focal sets, taut embeddings and the cyclides of Dupin[J].Mathematische Annalen.1978(2)

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