Local convexity properties of Apollonian and Seittenranta's metric balls

Details Local convexity properties of Apollonian and Seittenranta's metric balls Local convexity properties of Apollonian and Seittenranta's metric balls

2012-04-02

arxiv.org/abs/1204.0329v1

Mathematics

Metric Geometry

12 pages, 3 figures

Scientific paper

We consider local convexity properties of the Apollonian and the
Seittenranta's metric balls. The Apollonian metric balls are considered in the
twice punctured space, convex and starlike domains. The Seittenranta's metric
balls are considered in the twice punctured space and in the punctured ball.

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