Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains

• DOI: 10.1007/s000140050138
• Publication Date: 2002-08-25T06:16:17Z
• Authors: Zoltán M. Balogh; Mario Bonk
• Keywords: Corollary; Carnot cycle; Pseudoconvex function

We give an estimate for the distance function related to Kobayashi metric on a bounded strictly pseudoconvex domain with C 2 -smooth boundary.Our formula relates Carnot-Carathéodory boundary.The is precise up additive term.As corollary we conclude that equipped this hyperbolic in sense of Gromov.