A New Weighted Metric: the Relative Metric II

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dc.creatorHasto, Peter A.
dc.date2001-08-03
dc.date2001-09-03
dc.date.accessioned2026-07-07T04:42:52Z
dc.date.available2026-07-07T04:42:52Z
dc.descriptionIn 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.
dc.description23 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0108026
dc.identifierhttp://arxiv.org/abs/math/0108026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61966
dc.subjectMetric Geometry
dc.subjectClassical Analysis and ODEs
dc.subjectPrimary 39B62, Secondary 26D07, 30F45
dc.titleA New Weighted Metric: the Relative Metric II
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