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Local convexity properties of balls in Apollonian and Seittenranta's metrics
Tekijät: Riku Klén
Julkaisuvuosi: 2013
Journal: Conformal Geometry and Dynamics
Vuosikerta: 17
Aloitussivu: 133
Lopetussivu: 144
Sivujen määrä: 12
ISSN: 1088-4173
DOI: https://doi.org/10.1090/S1088-4173-2013-00257-9
Verkko-osoite: http://www.ams.org/journals/ecgd/2013-17-10/S1088-4173-2013-00257-9/S1088-4173-2013-00257-9.pdf
Tiivistelmä
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.