Local Convexity Properties of j-metric Balls

Abstract

This paper deals with local convexity properties of the j-metric. We consider convexity and starlikeness of the j-metric balls in convex, starlike and general subdomains of R^n.

arXiv commentTo appear in Annales Academiae Scientiarum Fennicae Mathematica

Cited by in corpus (2)

• Close-to-convexity of quasihyperbolic and $j$-metric balls
• Geometric properties of the Cassinian metric