Rigidity of Kobayashi isometries of a class of 2-dimensional Lempert manifolds

Abstract

In this article, we study the Kobayashi isometries of 2-dimensional complex manifolds having a finite Carathéodory universal set. In particular, we prove that the Kobayashi isometries of these complex manifolds are (anti)holomorphic.

arXiv commentComments are welcome. Lemma 9 and Corollary 10 have been added for better exposition. Accepted for publication in Archiv der Mathematik