两个度量的Gromov双曲性和强双曲性  

Gromov Hyperbolicity and Strong Hyperbolicity of Two Metrics

作　　者：徐畅 张孝惠 

机构地区：[1]浙江理工大学理学院,浙江 杭州

出　　处：《理论数学》2023年第11期3219-3225,共7页Pure Mathematics

摘　　要：本文提出了在同一空间上的两个度量是sign-型的概念,研究了两个sign-型的Gromov双曲度量的和也具有Gromov双曲性,并推广至其线性组合的Gromov双曲性。在Ptolemy空间中,我们构造了一种强双曲度量。We introduce the notion of sign-likeness of two metrics on the same space, and study the Gromov hyperbolicity of the sum of two sign-like metrics which is generalized to the Gromov hyperbolicity of their linear combinations. In a Ptolemy space, we also construct a strongly hyperbolic metric.

关 键 词：Sign-型度量 Gromov双曲性 强双曲性 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]