A NOTE ON COMPLETE MANIFOLDS WITH FINITE VOLUME |
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| Authors: | Hongcun DENG |
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| Institution: | Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China |
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| Abstract: | In this article, we concern on complete manifolds with finite volume. We prove that under some assumptions about scalar curvature and the Yamabe constant, the manifolds must be compact, and we also give the diameter estimates in terms of the scalar curvature and the Yamabe constant. |
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| Keywords: | Diameter scalar curvature complete manifold with finite volume |
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