Quasihyperbolic Geodesics in Convex Domains II

摘要

We consider the quasihyperbolic geometry of a convex domain in a uniformly convex Banach space. We show that quasihyperbolic geodesics are unique, that quasihyperbolic balls are convex and that in the ˉnite-dimensional case, quasihyperbolic geodesics can be prolonged to geodesic rays.