Holomorphic maps from the complex unit ball to Type IV classical domains

preprint2016arXivOpen access

Abstract

We prove rigidity results for holomorphic proper maps from the complex unit ball Bn\mathbb{B}^n to the Type IV bounded symmetric domain DmIVD^{IV}_m where n≥4,n+1≤m≤2n−3n \geq 4, n+1\leq m \leq 2n-3. In addition, a classification result is established when m=n+1.m=n+1.

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