Computational Methods and Function Theory 6 (2006), No. 1, 15--28
Copyright Heldermann Verlag 2006
Peter Hästö
peter.hasto@helsinki.fi , Department of Mathematical Sciences, P.O. Box 3000, 90014 University of Oulu, Finland.
Zair Ibragimov
ibragizs@math.uc.edu , Department of Mathematical Sciences, University of Cincinnati, P.O. Box 210025, Cincinnati, OH 45221-0025, U.S.A.
Henri Lindén
henri.linden@helsinki.fi , Department of Mathematics and Statistics, P.O. Box 68, 00014 University of Helsinki, Finland.
In this paper we consider isometries of relative metrics. We characterize isometries of the jD metric and of Seittenranta's metric, as well as of their generalizations. We also derive some inequalities and results on the geodesics of these metrics.
Keywords: Relative metrics, isometries, distance ratio metric, Seittenranta's metric.
MSC 2000: Primary 30F45; Secondary 30C65.
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