论文标题
关于格罗莫夫双曲歧管和图形的同能力不平等的注释
A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs
论文作者
论文摘要
在本文中，我们研究了riemannian歧管和图的背景下的双曲线和（cheeger）等等不平等的关系。我们从gromov边界来改善了先前工作的相似结果，从而表征了双曲线歧管和图（带有局部局部几何形状），以验证这种等距不平等。特别是，我们证明拥有极是必要的条件，因此可以将其作为假设将其删除。
In this paper we study the relationship of hyperbolicity and (Cheeger) isoperimetric inequality in the context of Riemannian manifolds and graphs. We characterize the hyperbolic manifolds and graphs (with bounded local geometry) verifying this isoperimetric inequality, in terms of their Gromov boundary improving similar results from a previous work. In particular, we prove that having a pole is a necessary condition and, therefore, it can be removed as hypothesis.
