Rigidity of proper holomorphic maps between balls with H\"older boundary regularity
Complex Variables
2026-02-20 v2 Differential Geometry
Abstract
In this paper, we prove a rigidity result for proper holomorphic maps between unit balls that have many symmetries and which extend to H\"older continuous maps on the boundary, with H\"older exponent strictly greater than 1/2.
Cite
@article{arxiv.2602.05795,
title = {Rigidity of proper holomorphic maps between balls with H\"older boundary regularity},
author = {Kyle Huang and Jinwoo Park and Aleksander Skenderi and Jaan Amla Srimurthy and Rou Wen and Andrew Zimmer},
journal= {arXiv preprint arXiv:2602.05795},
year = {2026}
}
Comments
v2: 20 pages. Minor changes to introduction. Comments welcome!