发表机构
Nîmes Université（尼姆大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在ℝ^m有界开子集类中完整描述了体积、直径与Cheeger常数的Blaschke–Santaló图，在凸体类中证明其闭且单连通，并分析了对应连续函数的定性性质。
AI 中文摘要
我们研究与体积、直径和Cheeger常数相关的Blaschke–Santaló图。在m≥2的ℝ^m有界开子集类中，我们给出该图的完整描述；在ℝ^m的凸体类中，我们证明该图是闭且单连通的，它由两个连续函数之间的区域给出，我们还研究了这些函数的单调性、局部行为和增长估计等定性性质。
英文摘要
We study the Blaschke--Santal{ó} diagram associated with the volume, the diameter, and the Cheeger constant. In the class of bounded open subsets of $\mathbb{R}^m$, $m\ge 2$, we give a complete description of the diagram. In the class of convex bodies of $\mathbb R^m$, we prove that the diagram is closed and simply connected as it is given by the region between two continuous functions for which qualitative properties such as monotonicity, local behavior, and growth estimates are studied.
Comments22 pages
