The Bonnesen isoperimetric inequality in a surface of constant curvature

被引：19
|
作者：
Zeng ChunNa [1 ]
Ma Lei [1 ,2 ]
Zhou JiaZu [1 ,3 ]
Chen FangWei [4 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Guangdong Univ Petrochem Technol, Gaozhou Normal Coll, Maoming 525200, Peoples R China
[3] SE Guizhou Vocat Coll Technol Nationalities, Kaili 556000, Peoples R China
[4] Guizhou Coll Finance & Econ, Dept Math & Stat, Guiyang 550004, Peoples R China
来源：
SCIENCE CHINA-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; STYLE INEQUALITIES; CURVES; PLANE;
D O I：
10.1007/s11425-012-4405-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first estimate the containment measure of a convex domain to contain in another in a surface of constant curvature epsilon. Then we obtain the analogue of the known Bonnesen isoperimetric inequality for convex domain in . Finally we strengthen the known Bonnesen isoperimetric inequality.
引用
收藏
页码：1913 / 1919
页数：7
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