On the maximal mean curvature of a smooth surface

被引：11
|
作者：
Ferone, Vincenzo [1 ]
Nitsch, Carlo [1 ]
Trombetti, Cristina [1 ]
机构：
[1] Univ Naples Federico II, Naples, Italy
来源：
COMPTES RENDUS MATHEMATIQUE | 2016年 / 354卷 / 09期
关键词：
ISOPERIMETRIC INEQUALITY; EIGENVALUE; CURVE;
D O I：
10.1016/j.crma.2016.05.018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a smooth simply connected planar domain, the area is bounded away from zero in terms of the maximal curvature alone. We show that in higher dimensions this is not true, and for a given maximal mean curvature we provide smooth embeddings of the ball with arbitrary small volume. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码：891 / 895
页数：5
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