Hermitian surfaces of constant holomorphic sectional curvature

DOI10.1007/BF02571270zbMath0694.53052OpenAlexW2029373087MaRDI QIDQ909262

Takuji Sato, Kouei Sekigawa

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174202

zbMATH Keywords

Chern classholomorphic sectional curvatureRiemannian connectioncompact Hermitian surfaces

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40)

Related Items (8)

Chern-Ricci curvatures, holomorphic sectional curvature and Hermitian metrics ⋮ Examples of Hermitian manifolds with pointwise constant holomorphic sectional curvature ⋮ Compact Hermitian surfaces of pointwise constant holomorphic sectional curvature ⋮ Compact self-dual Hermitian surfaces ⋮ Compact Hermitian surfaces of constant antiholomorphic sectional curvatures ⋮ Some remarks on almost Kähler 4-manifolds of pointwise constant holomorphic sectional curvature ⋮ Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature ⋮ On Strominger space forms

Cites Work

• Some curvature properties of complex surfaces
• Compact Hermitian manifolds of constant holomorphic sectional curvature
• On some 2-dimensional Hermitian manifolds
• Almost Hermitian manifolds with constant holomorphic sectional curvature
• On the Structure of Compact Complex Analytic Surfaces, I
• On the Chern numbers of surfaces of general type
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