Second fundamental forms of holomorphic isometries of the Poincaré disk into bounded symmetric domains and their boundary behavior along the unit circle

DOI10.1007/s11425-009-0222-4zbMath1193.53150OpenAlexW2255474765MaRDI QIDQ983661

Ngaiming Mok, Sui-Chung Ng

Publication date: 24 July 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0222-4

zbMATH Keywords

asymptoticssecond fundamental formPoincaré diskholomorphic isometrySiegel upper half-plane

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of symmetric spaces (53C35) Local submanifolds (53B25)

Related Items (4)

Holomorphic isometries between products of complex unit balls ⋮ On the structure of holomorphic isometric embeddings of complex unit balls into bounded symmetric domains ⋮ Volume-preserving mappings between Hermitian symmetric spaces of compact type ⋮ Holomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two

Cites Work

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• On holomorphic isometric embeddings of the unit \(n\)-ball into products of two unit \(m\)-balls
• Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric
• On the asymptotic behavior of holomorphic isometries of the Poincaré disk into bounded symmetric domains
• Uniqueness theorems of Hermitian metrics of seminegative curvature on quotients of bounded symmetric domains
• On holomorphic isometric embeddings of the unit disk into polydisks
• Correspondances modulaires et mesures invariantes

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