Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Gupta, Naveen
Institution: Netaji Subhas University of Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7211913681