CLOSE-TO-CONVEXITY OF QUASIHYPERBOLIC AND j-METRIC BALLS

: Klén Riku

Publisher: SUOMALAINEN TIEDEAKATEMIA

: 2010

: Annales Academiae Scientiarum Fennicae. Mathematica

: ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

: ANN ACAD SCI FENN-M

: 2

: 35

: 2

: 493

: 501

: 9

: 1239-629X

DOI: https://doi.org/10.5186/aasfm.2010.3530

: http://www.acadsci.fi/mathematica/Vol35/vol35pp493-501.pdf

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.

Mathematics