On a CR transversality problem through the approach of the Chern-Moser theory

DOI10.1007/s12220-012-9305-5zbMath1277.32039OpenAlexW2076705799MaRDI QIDQ375713

Xiaojun Huang, Yuan Zhang

Publication date: 31 October 2013

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

Full work available at URL: https://doi.org/10.1007/s12220-012-9305-5

zbMATH Keywords

CR transversalityChern-Moser theoryLevi non-degeneracyLevi-cone

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Embeddings of CR manifolds (32V30)

Related Items (2)

CR submanifolds with vanishing second fundamental forms ⋮ On the CR Transversality of Holomorphic Maps into Hyperquadrics

Cites Work

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• Rigidity of CR-immersions into spheres
• Nonvanishing of the differential of holomorphic mappings at boundary points
• Transversality of holomorphic mappings between real hypersurfaces in different dimensions
• Transversality of CR mappings
• Schwarz reflection principle in complex spaces of dimension two
• The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics

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