Yamabe Flow and Myers Type Theorem on Complete Manifolds |
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| Authors: | Li Ma Liang Cheng |
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| Institution: | 1. Department of Mathematics, Henan Normal University, Xinxiang, 453007, P.R. China
2. School of Mathematics and Statistics, Huazhong Normal University, Wuhan, 430079, P.R. China
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| Abstract: | In this paper, we prove the following Myers type theorem: If (M n ,g), n≥3, is an n-dimensional complete locally conformally flat Riemannian manifold with bounded Ricci curvature satisfying the Ricci pinching condition Rc≥?Rg, where R>0 is the scalar curvature and ?>0 is a uniform constant, then M n must be compact. |
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