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
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
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页码:1913 / 1919
页数:7
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