Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (1): 89-96.
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Chen Guanghua, Xu Senlin
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Abstract: 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 generalized,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].
Key words: Locally symetric, conformally flat, minimal submanifold, scalar curvature, sectional curvature
Chen Guanghua, Xu Senlin. RIGIDITY OF COMPACT MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC AND CONFORMALLY FLAT RIEMANN MANIFOLD[J].Acta mathematica scientia,Series B, 1996, 16(1): 89-96.
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