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arXiv · 2609.04251

On the Kobayashi isometries of a class of 2-dimensional Lempert manifolds

Naveen Gupta
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Abstract

We prove that every Kobayashi distance isometry between $2$-dimensional Lempert manifolds having finite universal set (with atleast three elements) is holomorphic or anti-holomorphic. It is shown that every such isometry is $C_{loc}^{1,1}$ without any regularity assumption on the isometry.

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Naveen Gupta. 2026-08-29. On the Kobayashi isometries of a class of 2-dimensional Lempert manifolds. https://arxiv.org/abs/2609.04251

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