A1 Refereed original research article in a scientific journal
Local convexity properties of balls in Apollonian and Seittenranta's metrics
Authors: Riku Klén
Publication year: 2013
Journal: Conformal Geometry and Dynamics
Volume: 17
First page : 133
Last page: 144
Number of pages: 12
ISSN: 1088-4173
DOI: https://doi.org/10.1090/S1088-4173-2013-00257-9
Web address : 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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