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RIGIDITY OF COMPACT MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC AND CONFORMALLY FLAT RIEMANN MANIFOLD 被引量:4

RIGIDITY OF COMPACT MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC AND CONFORMALLY FLAT RIEMANN MANIFOLD
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摘要 RIGIDITYOFCOMPACTMINIMALSUBMANIFOLDSINALOCALLYSYMMETRICANDCONFORMALLYFLATRIEMANNMANIFOLD(陈广华,徐森林)¥ChenGuanghuaXuSenlin(Dept.o... The compact minimal submanifold in a locally symetric and conformally flat Riemann manifold is discussed in this paper.We get the Pinching constant for scalar curvature.The result of Li[2]is generallied,but the method is completely different. Meanwhile,we get better conclusion than that of [3].We also research the Pinching problem for sectional curvature on compact minimal submanifolds in a unit sphere, partially improving the results of S.T.Yan[4].
出处 《Acta Mathematica Scientia》 SCIE CSCD 1996年第1期89-97,共9页 数学物理学报(B辑英文版)
关键词 LOCALLY symetric conformally FLAT MINIMAL SUBMANIFOLD scalar CURVATURE sectional curvature. Locally symetric,conformally flat, minimal submanifold,scalar curvature, sectional curvature.
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  • 2何太平.一个Simons型Pinching常数的最佳值[J].科学通报,1995,40(21):1929-1933. 被引量:10
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  • 9Chen G H, Zhou X R. Rigidity of compact suhmanifolds in a unit sphere[J]. Kodia Math J, 1995,18:75-85
  • 10Chen S S. Canmo M do, Kobayashi S. Mirimal submanifotds a sphere wthh Second fundamental form of constant length [J]. Functional Analysis and Related FiNds, 1970, 59-75

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