On Mok's uniqueness problem of holomorphic isometries from complex unit balls of maximal dimension into classical domains
Cong Ding, Yuan Yuan
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.
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