PreprintarXiv licencearXiv
On Mok's uniqueness problem of holomorphic isometries from complex unit balls of maximal dimension into classical domains
Abstract
We prove that every holomorphic isometric embedding, with respect to the Bergman metrics, from a complex unit ball of maximal dimension into irreducible classical bounded symmetric domain of rank at least two that is not biholomorphic to a Type IV domain is equivalent to Mok's embedding. This completely resolves a problem of Mok.
Related
- A Dimension Estimate for Polynomial Growth Holomorphic Functions
- A holomorphic motion with non-subharmonic Hausdorff dimension
- Holomorphic motions, Assouad dimension and quasiconformal mappings
- Isometries of Unit Spheres of SFS-Spaces and a Geometric Approach to Tingley's Problem
- The Corona Problem for Slice Holomorphic Functions via the Matrix Corona Problem
BibTeX
@misc{ding2026moks,
title = {{On Mok's uniqueness problem of holomorphic isometries from complex unit balls of maximal dimension into classical domains}},
author = {Cong Ding and Yuan Yuan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15637},
eprint = {2610.15637},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15637},
}
RIS
TY - UNPB
TI - On Mok's uniqueness problem of holomorphic isometries from complex unit balls of maximal dimension into classical domains
AU - Cong Ding
AU - Yuan Yuan
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15637
UR - https://arxiv.org/abs/2610.15637
AB - We prove that every holomorphic isometric embedding, with respect to the Bergman metrics, from a complex unit ball of maximal dimension into irreducible classical bounded symmetric domain of rank at least two that is not biholomorphic to a Type IV domain is equivalent to Mok's embedding. This completely resolves a problem of Mok.
ER -