A Characterization of Bounded Symmetric Domains by Curvature

DOI10.2307/1999066zbMath0517.32014OpenAlexW4232746112MaRDI QIDQ3665428

J. E. D'Atri, Isabel Dotti de Miatello

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/1999066

zbMATH Keywords

Bergman metricbounded homogeneous domainnonpositive sectional curvature

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Invariant metrics and pseudodistances in several complex variables (32F45) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

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A SPLITTING THEOREM FOR KÄHLER MANIFOLDS WHOSE RICCI TENSORS HAVE CONSTANT EIGENVALUES ⋮ Alekseevskian spaces ⋮ Family of Cayley transforms of a homogeneous Siegel domain parametrized by admissible linear forms ⋮ On the curvature of homogeneous Kähler metrics of bounded domains ⋮ A characterization of symmetric Siegel domains by convexity of Cayley transformation images ⋮ Bergman kernel function for Hartogs domains over bounded homogeneous domains ⋮ Determinant type differential operators on homogeneous Siegel domains ⋮ Criteria for quasi-symmetricity and the holomorphic sectional curvature of a homogeneous bounded domain ⋮ A characterization of symmetric Siegel domains through a Cayley transform ⋮ A characterization of symmetric cones by an order-reversing property of the pseudoinverse maps ⋮ Einstein metrics on solvable groups ⋮ Curvature operator of the Bergman metric on a homogeneous bounded domain ⋮ Geometric norm equality related to the harmonicity of the Poisson kernel for homogeneous Siegel domains ⋮ Second Ricci curvature of homogeneous bounded domains

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