Holomorphic isometries from the unit ball into symmetric domains

Abstract

We construct isometric holomorphic embeddings of the unit ball into higher rank symmetric domains, first discovered by Mok, in an explicit way using Jordan triple systems, and prove uniqueness results for all domains, including the exceptional domains of dimension 16 and 27.

References in corpus (1)

• Volume-preserving maps between Hermitian symmetric spaces of compact type

Cited by in corpus (3)

• 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