Work

On Mok's uniqueness problem of holomorphic isometries from complex unit balls of maximal dimension into classical domains

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.15637

Authors: Ding, Cong, Yuan, Yuan

Institutions: Shenzhen University, Westlake University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Shenzhen University, Shenzhen Peacock Plan, Natural Science Foundation of Zhejiang Province

Award: 多复变中的刚性问题

OpenAlex ID: W7221777920

Cites: 3

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