Constant diameter and constant width of spherical convex bodies

被引：0
作者：
Huhe Han
Denghui Wu
机构：
[1] Northwest A&F University,College of Science
来源：
Aequationes mathematicae | 2021年 / 95卷
关键词：
Constant width; Constant diameter; Polar set; Spherical convex body; 52A55; 52A30;
D O I：
暂无
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学科分类号：
摘要：
In this paper we show that a spherical convex body C is of constant diameter τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document} if and only if C is of constant width τ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau $$\end{document}, for 0<τ<π\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0<\tau <\pi $$\end{document}. Moreover, some applications to Wulff shapes are given.
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页码：167 / 174
页数：7
相关论文
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