On the continuous extension of Kobayashi isometries

Abstract

We provide a sufficient condition for the continuous extension of isometries for the Kobayashi distance between bounded convex domains in complex Euclidean spaces having boundaries that are only slightly more regular than ${\mathcal{C}}^1$. This is a generalization of a recent result by A. Zimmer.

13 pages. Added Propositions 1.5 and 4.6 and a few relevant comments to the Introduction. Accepted for publication in Proc. Amer. Math. Soc

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