一种新的加权度量：相对度量II
A New Weighted Metric: the Relative Metric II
摘要：
在本文的第一部分[Ha]中，我们推广了[Li]的一个加权距离函数，并得到了它是度量的充要条件。本文建立了这个所谓的M-相对度量的一些性质。具体地，导出了等距性、拟凸性和局部凸性结果。我们还说明了我们的方法和推广的双曲度量之间的连接。
英文摘要：
In the first part of this investigation, [Ha], we generalized a weighted distance function of [Li] and found necessary and sufficient conditions for it being a metric. In this paper some properties of this so-called M-relative metric are established. Specifically, isometries, quasiconvexity and local convexity results are derived. We also illustrate connections between our approach and generalizations of the hyperbolic metric.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
