The Bonnesen isoperimetric inequality in a surface of constant curvature

被引：0

作者：

ZENG ChunNa 1

2 Gaozhou Normal College

3 Southeast Guizhou Vocational College of Technology for Nationalities

4 Department of Mathematics and Statistics

机构：

来源：

ScienceChina(Mathematics) | 2012年 / 55卷 / 09期

基金：

中国国家自然科学基金;

关键词：

hyperbolic plane; projective plane; kinematic formula; Bonnesen isoperimetric inequality; isoperimetric deficit; convex domain;

D O I：

暂无

中图分类号：

O178 [不等式及其他];

学科分类号：

摘要：

We first estimate the containment measure of a convex domain to contain in another in a surface X of constant curvature.Then we obtain the analogue of the known Bonnesen isoperimetric inequality for convex domain in X.Finally we strengthen the known Bonnesen isoperimetric inequality.

引用

页码：1913 / 1919

页数：7

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