On holomorphic isometric embeddings of the unit disk into polydisks

DOI10.1090/S0002-9939-10-10305-0zbMath1207.32018MaRDI QIDQ3581112

Sui-Chung Ng

Publication date: 16 August 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

splitting theoremholomorphic isometric embedding\(p\)-th root embeddingdiagonal embdeddings

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Holomorphic maps on manifolds (58C10) Embedding theorems for complex manifolds (32Q40)

Related Items (11)

Remarks on holomorphic isometric embeddings between bounded symmetric domains ⋮ On global rigidity of the $p$-th root embedding ⋮ Holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains ⋮ Rigidity of proper holomorphic maps among generalized balls with Levi-degenerate boundaries ⋮ Holomorphic isometries between products of complex unit balls ⋮ 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 ⋮ Holomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two

Cites Work

• Isometric imbedding of complex manifolds
• Correspondances modulaires et mesures invariantes
• Unnamed Item

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