CR and Holomorphic Embeddings and Pseudo-conformally Flat Metrics

2012/10/15 by Xiaojun Huang, Huang, Xiaojun, Shanyu Ji +3
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #math.DG

paper · pdf · doi:10.48550/arxiv.1210.4046

arXiv admin note: text overlap with arXiv:1011.1034, arXiv:1208.2731 by other authors

arxiv created 2012/10/15 · openalex publication_date 2012/10/15 · arxiv updated 2012/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the non-embddability property for a class of real hypersurfaces, called real hypersurfaces of involution type, into the sphere in the low codimensional case, by making use of property of a naturally related Gauss curvature. We also study rigidity problems for conformal maps between a class of Kähler manifolds with pseud-conformally flat metrics.

Citations

• On the Third Gap for Proper Holomorphic Maps between Balls
• Partial Rigidity of CR Embeddings of Real Hypersurfaces into Hyperquadrics with Small Signature Difference
• Partial rigidity of degenerate CR embeddings into spheres

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