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A Formula for Submanifolds in S^n and Its Applications in Moebius Geometry 被引量:8

A Formula for Submanifolds in S^n and Its Applications in Moebius Geometry
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摘要 In this paper, we obtain a formula for submanifolds in Sn+p by calculating the Laplacian of the Moebius second fundamental form. Using this formula, we obtain some pinching theorems about the minimal eigenvalue of the Blaschke tensor. In this paper, we obtain a formula for submanifolds in Sn+p by calculating the Laplacian of the Moebius second fundamental form. Using this formula, we obtain some pinching theorems about the minimal eigenvalue of the Blaschke tensor.
作者 钟定兴
出处 《Northeastern Mathematical Journal》 CSCD 2001年第3期361-370,共10页 东北数学(英文版)
基金 The NSF (981105) of Jiangxi Province.
关键词 Moebius metric Moebius second fundamental form Moebius form Blaschke tensor EIGENVALUE Moebius metric, Moebius second fundamental form, Moebius form, Blaschke tensor, eigenvalue
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参考文献2

  • 1Changping Wang.Moebius geometry of submanifolds in ? n[J].manuscripta mathematica.1998(4) 被引量:1
  • 2Li An-Min,Li Jimin.An intrinsic rigidity theorem for minimal submanifolds in a sphere[J].Archiv der Mathematik.1992(6) 被引量:1

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