Quasihyperbolic Geometry in Euclidean and Banach Spaces (1104.3745v1)

Published 19 Apr 2011 in math.CV and math.FA

Abstract: 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.

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