A1 Refereed original research article in a scientific journal
CLOSE-TO-CONVEXITY OF QUASIHYPERBOLIC AND j-METRIC BALLS
Authors: Klén Riku
Publisher: SUOMALAINEN TIEDEAKATEMIA
Publication year: 2010
Journal: Annales Academiae Scientiarum Fennicae. Mathematica
Journal name in source: ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA
Journal acronym: ANN ACAD SCI FENN-M
Number in series: 2
Volume: 35
Issue: 2
First page : 493
Last page: 501
Number of pages: 9
ISSN: 1239-629X
DOI: https://doi.org/10.5186/aasfm.2010.3530
Web address : http://www.acadsci.fi/mathematica/Vol35/vol35pp493-501.pdf
Abstract
We consider close-to-convexity of the metric balls defined by the quasihyperbolic metric and the j-metric. We show that the j-metric balls with small radii are close-to-convex in general subdomains of R(n) and the quasihyperbolic balls with small radii are close-to-convex in the punctured space.
We consider close-to-convexity of the metric balls defined by the quasihyperbolic metric and the j-metric. We show that the j-metric balls with small radii are close-to-convex in general subdomains of R(n) and the quasihyperbolic balls with small radii are close-to-convex in the punctured space.
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