Isometries in the diamond

Anand Chavan; Włodzimierz Zwonek

Isometries in the diamond

Complex Variables 2024-03-19 v1

Authors: Anand Chavan , Włodzimierz Zwonek

Abstract

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.

Keywords

pseudoconvex domains

Cite

@article{arxiv.2403.11031,
  title  = {Isometries in the diamond},
  author = {Anand Chavan and Włodzimierz Zwonek},
  journal= {arXiv preprint arXiv:2403.11031},
  year   = {2024}
}

Comments

15 pages

Related papers

View all related →