Local convexity properties of balls in Apollonian and Seittenranta’s metrics

Klén, Riku

doi:10.1090/S1088-4173-2013-00257-9

Local convexity properties of balls in Apollonian and Seittenranta’s metrics
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by Riku Klén

Conform. Geom. Dyn. 17 (2013), 133-144

DOI: https://doi.org/10.1090/S1088-4173-2013-00257-9

Published electronically: September 10, 2013

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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.

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