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

Abstract

We prove rigidity results for holomorphic proper maps from the complex unit ball ${\mathbb{B}}^n$ to the Type IV bounded symmetric domain $D_m^{IV}$ where $n\ge 4,n+1\le m\le 2n-3$. In addition, a classification result is established when $m=n+1.$

References in corpus (4)

• Rigidity of CR maps between Shilov boundaries of bounded symmetric domains
• Volume-preserving maps between Hermitian symmetric spaces of compact type
• Regularity of CR-mappings into Levi-degenerate hypersurfaces
• On local holomorphic maps preserving invariant (p,p)-forms between bounded symmetric domains

Cited by in corpus (4)

• On the structure of holomorphic isometric embeddings of complex unit balls into bounded symmetric domains
• Rigidity properties of holomorphic isometries into homogeneous Kähler manifolds
• Complexity of holomorphic maps from the complex unit ball to classical domains
• Holomorphic isometries between products of complex unit balls