Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics

DOI10.1016/j.aim.2008.07.001zbMath1194.32023arXiv0711.4647OpenAlexW2963504358MaRDI QIDQ952405

Xiaojun Huang, Peter Ebenfelt, Mohamed Salah Baouendi

Publication date: 12 November 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4647

zbMATH Keywords

signatureprojective spacehyperquadricholomorphic mappingLevi-nondegenerate

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Embeddings of CR manifolds (32V30)

Related Items (17)

CR submanifolds with vanishing second fundamental forms ⋮ On the embeddability of real hypersurfaces into hyperquadrics ⋮ On CR embeddings of strictly pseudoconvex hypersurfaces into spheres in low dimensions ⋮ Rigidity of CR maps between Shilov boundaries of bounded symmetric domains ⋮ Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls ⋮ Partial rigidity of degenerate CR embeddings into spheres ⋮ Nonlinearizable CR automorphisms for polynomial models in \(\mathbb{C}^N\) ⋮ Local and infinitesimal rigidity of hypersurface embeddings ⋮ On the HJY Gap Conjecture in CR geometry vs. the SOS Conjecture for polynomials ⋮ Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics ⋮ Obstructions to embeddability into hyperquadrics and explicit examples ⋮ Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces ⋮ Holomorphic maps from the complex unit ball to Type IV classical domains ⋮ Higher order symmetries of real hypersurfaces in ℂ³ ⋮ Proper Holomorphic Maps Between Bounded Symmetric Domains ⋮ Constructing group-invariant CR mappings ⋮ Rigidity of proper holomorphic maps between bounded symmetric domains

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