Quasihyperbolic Geometry in Euclidean and Banach Spaces
  We consider the quasihyperbolic metric, and its generalizations in both the $n$-dimensional Euclidean space $R^n$, and in Banach spaces. Historical background, applications, and our recent work on convexity properties of these metrics are discussed. 
Riku Kl\'en, Antti Rasila and Jarno Talponen
math.CV math.FA