October 3, 2025Open Access

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

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Kobayashi isometries in these manifolds are shown to be (anti)holomorphic, indicating strong structural properties.
The study focuses on 2-dimensional complex manifolds with a finite Carathéodory universal set.
Proving that these isometries are holomorphic adds to the understanding of manifold geometry.
The results enhance the classification of complex manifolds and their isometric mappings.

Implication

This article reveals that kobayashi isometries are (anti)holomorphic in 2D complex manifolds, suggesting new implications for their structure.

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.

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Cite This Study

Anand Chavan (2025) studied this question.

synapsesocial.com/papers/68e034f7f0e39f13e7fa300d https://doi.org/10.48550/arxiv.2509.05480

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Implication

This article reveals that kobayashi isometries are (anti)holomorphic in 2D complex manifolds, suggesting new implications for their structure.

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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