Self-dual and anti-self-dual Hermitian surfaces

DOI10.2996/kmj/1138037464zbMath0662.53021OpenAlexW2017141942MaRDI QIDQ1113466

Takashi Koda

Publication date: 1987

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037464

zbMATH Keywords

holomorphic sectional curvatureHermitian surfacescomplex surfacesscalar curvaturesself-dual metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items (6)

Almost-Hermitian geometry ⋮ Compact Hermitian surfaces of pointwise constant holomorphic sectional curvature ⋮ Product twistor spaces and Weyl geometry ⋮ 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

Cites Work

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• On some 2-dimensional Hermitian manifolds
• Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d'Einstein
• Curvature identities for Hermitian and almost Hermitian manifolds
• Some topological obstructions to Bochner-Kähler metric and their applications
• Some theorems on almost Kählerian spaces
• Curvature Tensors on Almost Hermitian Manifolds
• Constancy of holomorphic sectional curvature in almost Hermitian manifolds

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