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Quasihyperbolic Geodesics in Convex Domains II

Quasihyperbolic Geodesics in Convex Domains II

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 finitedimensional case, quasihyperbolic geodesics can be prolonged to geodesic rays.