Holomorphic isometries of the complex unit ball into irreducible bounded symmetric domains

DOI10.1090/proc/13176zbMath1347.53042OpenAlexW2317221472MaRDI QIDQ2817025

Ngaiming Mok

Publication date: 26 August 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13176

zbMATH Keywords

Kähler-Einstein metricsholomorphic isometriesHermitian symmetric manifold \(S\)

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of symmetric spaces (53C35)

Related Items (13)

Remarks on holomorphic isometric embeddings between bounded symmetric domains ⋮ A Cartan-Hartogs version of the polydisk theorem ⋮ Holomorphic isometries of \({\mathbb {B}}^m\) into bounded symmetric domains arising from linear sections of minimal embeddings of their compact duals ⋮ Holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains ⋮ Holomorphicity of totally geodesic Kobayashi isometry between bounded symmetric domains ⋮ Regularity of mappings into classical domains ⋮ On the structure of holomorphic isometric embeddings of complex unit balls into bounded symmetric domains ⋮ Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces ⋮ Full cones swept out by minimal rational curves on irreducible Hermitian symmetric spaces as examples of varieties underlying geometric substructures ⋮ Volume-preserving mappings between Hermitian symmetric spaces of compact type ⋮ On 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 ⋮ Holomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two

Cites Work

• Local holomorphic curves on a bounded symmetric domain in its Harish-Chandra realization exiting at regular points of the boundary
• Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric
• Uniqueness theorems of Hermitian metrics of seminegative curvature on quotients of bounded symmetric domains
• Geometric aspects of potential theory in the symmetric bounded domains. II
• Function spaces and reproducing kernels on bounded symmetric domains
• Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products
• Correspondances modulaires et mesures invariantes
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
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