A1 Journal article – refereed
Local convexity properties of balls in Apollonian and Seittenranta's metrics
List of Authors: Riku Klén
Publication year: 2013
Journal: Conformal Geometry and Dynamics
Volume number: 17
Number of pages: 12
ISSN: 1088-4173
DOI: http://dx.doi.org/10.1090/S1088-4173-2013-00257-9
URL: http://www.ams.org/journals/ecgd/2013-17-10/S1088-4173-2013-00257-9/S1088-4173-2013-00257-9.pdf
Abstract
We consider local convexity properties of balls in the Apollonian and Seittenranta's metrics. Balls in the Apollonian metric are considered in the twice punctured space and starlike domains. Balls in Seittenranta's metric are considered in the twice punctured space and in the punctured ball.
We consider local convexity properties of balls in the Apollonian and Seittenranta's metrics. Balls in the Apollonian metric are considered in the twice punctured space and starlike domains. Balls in Seittenranta's metric are considered in the twice punctured space and in the punctured ball.
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