Local Convexity Properties of Quasihyperbolic Balls in Punctured Space

Abstract

This paper deals with local convexity properties of the quasihyperbolic metric in the punctured space. We consider convexity and starlikeness of quasihyperbolic balls.

Submitted to Journal of Mathematical Analysis and Applications

Cited by in corpus (4)

• Geometry of Metrics
• Close-to-convexity of quasihyperbolic and $j$-metric balls
• Quasiconformal maps with bilipschitz or identity boundary values in Banach spaces
• Observations on quasihyperbolic geometry modeled on Banach spaces