Affiliation:
1. School of Science Beijing University of Posts and Telecommunications Beijing China
2. Key Laboratory of Mathematics and Information Networks Beijing University of Posts and Telecommunications Ministry of Education Beijing China
Abstract
AbstractIn this paper, we give a local estimate for the Kobayashi distance on a bounded convex domain of finite type, which relates to a local pseudodistance near the boundary. The estimate is precise up to a bounded additive term. Also, we conclude that the domain equipped with the Kobayashi distance is Gromov hyperbolic that gives another proof of the result of Zimmer.
Funder
National Natural Science Foundation of China