Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces
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Publication:2006094
DOI10.1016/J.AIM.2020.107388zbMath1471.32020OpenAlexW3082442757WikidataQ115598704 ScholiaQ115598704MaRDI QIDQ2006094
Jin Lu, Xiaomin Tang, Ming Xiao, Xiaojun Huang
Publication date: 8 October 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2020.107388
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Analysis on CR manifolds (32V20) Proper holomorphic mappings, finiteness theorems (32H35)
Related Items (4)
Proper mappings between indefinite hyperbolic spaces and type I classical domains ⋮ Holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains ⋮ On CR maps from the sphere into the tube over the future light cone ⋮ Rigidity of mappings between degenerate and indefinite hyperbolic spaces
Cites Work
- Unnamed Item
- CR submanifolds with vanishing second fundamental forms
- Rigidity of CR maps between Shilov boundaries of bounded symmetric domains
- Partial rigidity of degenerate CR embeddings into spheres
- Rigidity for local holomorphic isometric embeddings from \(\mathbb{B}^n\) into \(\mathbb{B}^{N_1} \times \cdots \times \mathbb{B}^{N_m}\) up to conformal factors
- Symmetries in CR complexity theory
- Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric
- Super-rigidity for holomorphic mappings between hyperquadrics with positive signature
- Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics
- Extending proper holomorphic mappings of positive codimension
- Diastases and real analytic functions on complex manifolds
- Real hypersurfaces in complex manifolds
- On a linearity problem for proper holomorphic maps between balls in complex spaces of different dimensions.
- On rational proper mappings among generalized complex balls
- Convergence and divergence of formal CR mappings
- Convergence of formal CR mappings into strongly pseudoconvex Cauchy-Riemann manifolds
- Complexity of holomorphic maps from the complex unit ball to classical domains
- Rigidity of CR-immersions into spheres
- On a semi-rigidity property for holomorphic maps
- Holomorphic maps from the complex unit ball to Type IV classical domains
- Rigidity of proper holomorphic maps between bounded symmetric domains
- 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
- Transversality of holomorphic mappings between real hypersurfaces in different dimensions
- Holomorphic isometries of the complex unit ball into irreducible bounded symmetric domains
- Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products
- Holomorphic mappings between hyperquadrics with small signature difference
- The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics
- Algebraicity of real analytic hypersurfaces with maximal rank
- Several Complex Variables and the Geometry of Real Hypersurfaces
- Holomorphic Double Fibration and the Mapping Problems of Classical Domains
- On the analyticity of CR-diffeomorphisms
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