Linearity and second fundamental forms for proper holomorphic maps from \(\mathbb{B}^{n+1}\) to \(\mathbb{B}^{4n-3}\)

DOI10.1007/s12220-011-9225-9zbMath1257.32036OpenAlexW2013329320MaRDI QIDQ1930287

Shanyu Ji, Xiao-liang Cheng

Publication date: 10 January 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-011-9225-9

zbMATH Keywords

second fundamental formCR geometryCartan's moving frame theoryproper holomorphic maps between balls

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Embeddings of CR manifolds (32V30) CR structures, CR operators, and generalizations (32V05) Proper holomorphic mappings, finiteness theorems (32H35)

Related Items (2)

CR submanifolds with vanishing second fundamental forms ⋮ The CR immersion into a sphere with the degenerate CR Gauss map

Cites Work

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• On a semi-rigidity property for holomorphic maps
• A new gap phenomenon for proper holomorphic mappings from \(\mathbb B^n\) into \(\mathbb B^N\)
• RIGIDITY OF PROPER HOLOMORPHIC MAPS FROM Bⁿ⁺¹TO B^3n-1
• Mapping \(B^n\) into \(B^{2n-1}\)

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