A NOTE ON COMPLETE MANIFOLDS WITH FINITE VOLUME  

作　　者：邓洪存 

机构地区：[1]Department of Mathematics,Sun Yat-sen University

出　　处：《Acta Mathematica Scientia》2014年第3期807-813,共7页数学物理学报（B辑英文版）

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.

关 键 词：DIAMETER scalar curvature complete manifold with finite volume 

分 类 号：O186.12[理学—数学]