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Estimates of the Kobayashi metric and Gromov hyperbolicity on convex domains of finite type (2211.10662v1)
Published 19 Nov 2022 in math.CV
Abstract: In this paper we give an 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 which gives another proof of the result of Zimmer.