Quasihyperbolic Geometry in Euclidean and Banach Spaces
arXiv:1104.3745
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.
ICM 2010 - Satellite Conference International Workshop on Harmonic and Quasiconformal Mappings (HQM2010), IIT Madras, August 09-17, 2010. 18 pages, 5 figures