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A NOTE ON COMPLETE MANIFOLDS WITH FINITE VOLUME

A NOTE ON COMPLETE MANIFOLDS WITH FINITE VOLUME
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摘要 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. 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.
作者 邓洪存
机构地区 Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第3期807-813,共7页 数学物理学报（B辑英文版）
关键词 DIAMETER scalar curvature complete manifold with finite volume Diameter scalar curvature complete manifold with finite volume
分类号 O186.12 [理学—基础数学]
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参考文献13

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Acta Mathematica Scientia
2014年 第3期

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