Relating diameter and mean curvature for Riemannian submanifolds

Jia Yong Wu; Yu Zheng

doi:10.1090/S0002-9939-2011-10848-7

Relating diameter and mean curvature for Riemannian submanifolds

Jia Yong Wu^*
, Yu Zheng

^*此作品的通讯作者

数学科学学院

Shanghai Maritime University

科研成果: 期刊稿件 › 文章 › 同行评审

14 引用（Scopus）

摘要

Given an m-dimensional closed connected Riemannian manifold M smoothly isometrically immersed in an n-dimensional Riemannian manifold N, we estimate the diameter of M in terms of its mean curvature field integral under some geometric restrictions, and therefore generalize a recent work of P. M. Topping in the Euclidean case (Comment. Math. Helv., 83 (2008), 539-546).

源语言	英语
页（从-至）	4097-4104
页数	8
期刊	Proceedings of the American Mathematical Society
卷	139
期	11
DOI	https://doi.org/10.1090/S0002-9939-2011-10848-7
出版状态	已出版 - 11月 2011

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AB - Given an m-dimensional closed connected Riemannian manifold M smoothly isometrically immersed in an n-dimensional Riemannian manifold N, we estimate the diameter of M in terms of its mean curvature field integral under some geometric restrictions, and therefore generalize a recent work of P. M. Topping in the Euclidean case (Comment. Math. Helv., 83 (2008), 539-546).

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M3 - 文章

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Relating diameter and mean curvature for Riemannian submanifolds

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