Gap Theorem on Complete Noncompact Riemannian Manifold

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Cheng Bing ZHAO Department of MathematicsAnhui University of ArchitectureAnhui PRChinaPostdoctoral Research Station of Management CollegeHefei University of TechnologyAnhui PRChina [1 ,2 ,1 ,230022 ,2 ,230009 ]
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A gap theorem on complete noncompact n-dimensional locally conformally flat Riemannian manifold with nonnegative and bounded Ricci curvature is proved.If there holds the following condition:integral(sk(x0,s)ds= o(log r)) from n=0 to r then the manifold is flat.
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页码:429 / 436
页数:8
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