We survey Gromov hyperbolicity in several contexts: finitely generated groups, real analysis (quasihyperbolic metric), and several complex variables (conformally invariant metrics). Some of the analysis results require that the underlying space is bounded with respect to some other metric (such as the inner Euclidean metric). Trying to overcome this restriction leads us to investigate the concepts of sphericalization and flattening conformal deformations that take unbounded spaces to bounded ones and vice versa.
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Last updated April 29, 2004. This page was created and is maintained by Stephen Wills (s.wills@ucc.ie).