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

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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