On holomorphic isometric embeddings of the unit \(n\)-ball into products of two unit \(m\)-balls

DOI10.1007/s00209-010-0675-8zbMath1225.53050OpenAlexW1974268312MaRDI QIDQ543330

Sui-Chung Ng

Publication date: 17 June 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0675-8

zbMATH Keywords

Bergman metricholomorphic embedding

Mathematics Subject Classification ID

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

Related Items (10)

Holomorphic isometries of \({\mathbb {B}}^m\) into bounded symmetric domains arising from linear sections of minimal embeddings of their compact duals ⋮ Holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains ⋮ Holomorphic isometries between products of complex unit balls ⋮ On holomorphic isometric immersions of nonhomogeneous Kähler-Einstein manifolds into the infinite dimensional complex projective space ⋮ On the structure of holomorphic isometric embeddings of complex unit balls into bounded symmetric domains ⋮ Second fundamental forms of holomorphic isometries of the Poincaré disk into bounded symmetric domains and their boundary behavior along the unit circle ⋮ Holomorphic maps from the complex unit ball to Type IV classical domains ⋮ Volume-preserving mappings between Hermitian symmetric spaces of compact type ⋮ Holomorphic isometry from a Kähler manifold into a product of complex projective manifolds ⋮ Kähler submanifolds and the Umehara algebra

Cites Work

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• Uniqueness theorems of Hermitian metrics of seminegative curvature on quotients of bounded symmetric domains
• Correspondances modulaires et mesures invariantes

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