arXiv subjects

Anand Chavan

Publications and source records attributed to Anand Chavan.

2 recordsLinked to original sources

arXiv2025

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

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.

math.CV↗

arXiv2024

Isometries in the diamond

We show the (anti)holomorphicity of smooth Kobayashi isometries of the diamond, the domain defined as $\triangle:=\{z\in\mathbb C^2:|z_1|+|z_2|<1\}$. Additionally, we discuss the problem of uniqueness of real geodesics, left inverses and strict convexity of indicatrices.

math.CV↗