Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products

DOI10.1515/CRELLE.2011.142zbMath1254.32033MaRDI QIDQ2910994

Ngaiming Mok, Sui-Chung Ng

Publication date: 12 September 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

totally geodesic submanifoldbounded symmetric domainmodular correspondencealgebraic correspondence

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) 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 (21)

Submanifolds of Hermitian Symmetric Spaces ⋮ A Cartan-Hartogs version of the polydisk theorem ⋮ Holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains ⋮ Equidistribution of periodic points for modular correspondences ⋮ Kähler-Einstein metrics and obstruction flatness. II: Unit sphere bundles ⋮ Dynamics of holomorphic correspondences on Riemann surfaces ⋮ Regularity of mappings into classical domains ⋮ CR embeddings and Kähler manifolds with pseudo-conformally flat curvature tensors ⋮ Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces ⋮ Holomorphic maps from the complex unit ball to Type IV classical domains ⋮ Volume-preserving mappings between Hermitian symmetric spaces of compact type ⋮ Holomorphic isometry from a Kähler manifold into a product of complex projective manifolds ⋮ Local holomorphic mappings respecting homogeneous subspaces on rational homogeneous spaces ⋮ Holomorphic isometries of the complex unit ball into irreducible bounded symmetric domains ⋮ Equidistribution problems in complex dynamics of higher dimension ⋮ Proper Holomorphic Maps Between Bounded Symmetric Domains ⋮ Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets ⋮ On proper holomorphic mappings among irreducible bounded symmetric domains of rank at least $2$ ⋮ On CR maps from the sphere into the tube over the future light cone ⋮ Holomorphic retractions of bounded symmetric domains onto totally geodesic complex submanifolds ⋮ Rigidity of proper holomorphic maps between bounded symmetric domains

Cites Work

• Local characterization of holomorphic automorphisms of Siegel domains
• On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions
• Uniqueness theorems of Hermitian metrics of seminegative curvature on quotients of bounded symmetric domains
• Holomorphic mappings from the ball and polydisc
• Realization of Hermitian symmetric spaces as generalized half-planes
• Geometric aspects of potential theory in the symmetric bounded domains. II
• Function spaces and reproducing kernels on bounded symmetric domains

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