Local convexity properties of Apollonian and Seittenranta's metric balls
arXiv:1204.0329
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.
arXiv comment11 pages, 3 figures