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Negativity of the curvature operator of a bounded domain

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Publication:1097533
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DOI10.2748/tmj/1178228330zbMath0635.53052OpenAlexW1988483688MaRDI QIDQ1097533

Kazuo Azukawa

Publication date: 1987

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228330


zbMATH Keywords

curvature operatorBergman metrichomogeneous bounded domainsThullen domains


Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex Lie groups, group actions on complex spaces (32M05)


Related Items

Intersection domains and the sum of two complex hyperbolic metrics ⋮ Some new domains with complete Kähler metrics of negative curvature ⋮ Criteria for quasi-symmetricity and the holomorphic sectional curvature of a homogeneous bounded domain ⋮ Analysis of the Wu metric II: The case of non-convex Thullen domains



Cites Work

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  • On compact, locally symmetric Kähler manifolds
  • On the curvature tensor of the hermitian symmetric manifolds
  • Curvature operator of the Bergman metric on a homogeneous bounded domain
  • Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
  • The Bergman metric on a Thullen domain
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