A New Weighted Metric: the Relative Metric II
Metric Geometry
2007-05-23 v2 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.math/0108026,
title = {A New Weighted Metric: the Relative Metric II},
author = {Peter A. Hasto},
journal= {arXiv preprint arXiv:math/0108026},
year = {2007}
}
Comments
23 pages, 2 figures