RIGIDITY　OF　COMPACT　MINIMAL　SUBMANIFOLDS　IN　A　LOCALLY　SYMMETRIC　AND　CONFORMALLY　FLAT　RIEMANN　MANIFOLD  

作　　者：陈广华 徐森林 

出　　处：《Acta Mathematica Scientia》1996年第1期89-97,共9页数学物理学报（B辑英文版）

摘　　要：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].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].

关 键 词：Locally symetric conformally flat minimal submanifold scalar curvature sectional curvature. 

分 类 号：O189[理学—数学]