Proper holomorphic mappings on flag domains of SU\((p,q)\)-type on projective spaces

DOI10.1307/mmj/1387226164zbMath1286.32020OpenAlexW2059101476MaRDI QIDQ2442192

Sui-Chung Ng

Publication date: 2 April 2014

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mmj/1387226164

zbMATH Keywords

flag domainsproper holomorphic map

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Complex Lie groups, group actions on complex spaces (32M05) Analysis on CR manifolds (32V20)

Related Items (7)

Proper mappings between indefinite hyperbolic spaces and type I classical domains ⋮ Rigidity of proper holomorphic maps among generalized balls with Levi-degenerate boundaries ⋮ Local orthogonal maps and rigidity of holomorphic mappings between real hyperquadrics ⋮ Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces ⋮ Holomorphic maps from the complex unit ball to Type IV classical domains ⋮ Rigidity of mappings between degenerate and indefinite hyperbolic spaces ⋮ Rigidity of proper holomorphic maps between bounded symmetric domains

Cites Work

• Cycle spaces of flag domains on Grassmannians and rigidity of holomorphic mappings
• Super-rigidity for holomorphic mappings between hyperquadrics with positive signature
• Immersions and imbeddings in complex projective spaces
• Holomorphic mappings between hyperquadrics with small signature difference
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
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