Super-rigidity for holomorphic mappings between hyperquadrics with positive signature
From MaRDI portal
Publication:814651
DOI10.4310/jdg/1121449110zbMath1088.32003OpenAlexW1642531286WikidataQ115198606 ScholiaQ115198606MaRDI QIDQ814651
Xiaojun Huang, Mohamed Salah Baouendi
Publication date: 7 February 2006
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1121449110
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)
Related Items (34)
Rational sphere maps, linear programming, and compressed sensing ⋮ Proper mappings between indefinite hyperbolic spaces and type I classical domains ⋮ CR Complexity and Hyperquadric Maps ⋮ CR submanifolds with vanishing second fundamental forms ⋮ On the embeddability of real hypersurfaces into hyperquadrics ⋮ Rigidity and holomorphic Segre transversality for holomorphic Segre maps ⋮ Holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains ⋮ Rigidity of CR maps between Shilov boundaries of bounded symmetric domains ⋮ On a CR transversality problem through the approach of the Chern-Moser theory ⋮ Rigidity of proper holomorphic maps among generalized balls with Levi-degenerate boundaries ⋮ Holomorphic deformations of real-analytic CR maps and analytic regularity of CR mappings ⋮ Partial rigidity of degenerate CR embeddings into spheres ⋮ Local orthogonal maps and rigidity of holomorphic mappings between real hyperquadrics ⋮ Convergence of formal CR mappings into strongly pseudoconvex Cauchy-Riemann manifolds ⋮ Local and infinitesimal rigidity of hypersurface embeddings ⋮ Chern-Moser-Weyl Tensor and Embeddings into Hyperquadrics ⋮ Proper holomorphic mappings on flag domains of SU\((p,q)\)-type on projective spaces ⋮ Bounding the rank of Hermitian forms and rigidity for CR mappings of hyperquadrics ⋮ Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics ⋮ Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics ⋮ Symmetries in CR complexity theory ⋮ Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces ⋮ Hermitian symmetric polynomials and CR complexity ⋮ Monotonicity for the Chern-Moser-Weyl curvature tensor and CR embeddings ⋮ Holomorphic maps from the complex unit ball to Type IV classical domains ⋮ On the CR Transversality of Holomorphic Maps into Hyperquadrics ⋮ Holomorphic isometry from a Kähler manifold into a product of complex projective manifolds ⋮ Local holomorphic mappings respecting homogeneous subspaces on rational homogeneous spaces ⋮ COMPLEXITY RESULTS FOR CR MAPPINGS BETWEEN SPHERES ⋮ Unique jet determination and extension of germs of CR maps into spheres ⋮ Proper Holomorphic Maps Between Bounded Symmetric Domains ⋮ Rigidity of mappings between degenerate and indefinite hyperbolic spaces ⋮ On the regularity of CR mappings between CR manifolds of hypersurface type ⋮ Rigidity of proper holomorphic maps between bounded symmetric domains
This page was built for publication: Super-rigidity for holomorphic mappings between hyperquadrics with positive signature