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

Anand Chavan

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arXiv · 2509.05480

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

Anand Chavan

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Abstract

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

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Anand Chavan. 2025-09-05. Rigidity of Kobayashi isometries of a class of 2-dimensional Lempert manifolds. https://arxiv.org/abs/2509.05480

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