%0 Journal Article
%T 两个度量的Gromov双曲性和强双曲性<br>Gromov Hyperbolicity and Strong Hyperbolicity of Two Metrics
%A 徐畅
%A 张孝惠
%J Pure Mathematics
%P 3219-3225
%@ 2160-7605
%D 2023
%I Hans Publishing
%R 10.12677/PM.2023.1311335
%X 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。<br />
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.
%K Sign-型度量，Gromov双曲性，强双曲性<br>Sign-Like Metric
%K Gromov Hyperbolicity
%K Strong Hyperbolicity
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=75758