南京信息工程大学主页平台管理系统李荣刚--中文主页-- Extensions of the Bonnet-Myers theorem

论文成果

Extensions of the Bonnet-Myers theorem

发布时间：2026-10-12点击次数：

发表刊物：Advances in Geometry
关键字：Riemannian manifold; Ricci curvature; mean curvature; diameter; Bonnet–Myers theorem
摘要：In this paper, we present extensions of the classical Bonnet–Myers theorem for Riemannian manifolds with nonnegative Ricci curvature. Our results provide criteria for compactness and a method for estimating the diameter of such manifolds under general curvature conditions. As applications, we establish compactness theorems for manifolds whose Ricci curvature decays at polynomial or exponential rates.
论文类型：期刊论文
卷号：26
期号：3
页面范围：407–414
是否译文：否
发表时间：2026-07-28
收录刊物：SCI

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