Some curvature properties of complex surfaces

DOI10.1007/BF01760974zbMath0512.53058MaRDI QIDQ1049952

Izu Vaisman

Publication date: 1982

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

curvature tensorChern classHermitian surfacesholomorphic bisectional curvatureKaehler metrics

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex manifolds (32Q99)

Related Items (32)

On some 2-dimensional Hermitian manifolds ⋮ On Kähler-like and G-Kähler-like quasi-Kähler manifolds ⋮ On some variational problems for 2-dimensional Hermitian metrics ⋮ On the existence of generalized complex space forms ⋮ On Kähler-like and \(G\)-Kähler-like almost Hermitian manifolds ⋮ Unnamed Item ⋮ Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds ⋮ Blowing up generalized Kähler 4-manifolds ⋮ Weyl structures with positive Ricci tensor. ⋮ Some examples of Hermitian surfaces ⋮ Product twistor spaces and Weyl geometry ⋮ Hermitian surfaces of constant holomorphic sectional curvature ⋮ Ricci curvatures on Hermitian manifolds ⋮ Biharmonic holomorphic maps and conformally Kähler geometry ⋮ Almost Hermitian structures defining harmonic maps of the unit tangent bundle ⋮ Curvature properties of twistor spaces ⋮ Compact self-dual Hermitian surfaces ⋮ On Einstein Hermitian manifolds ⋮ Almost complex structures that are harmonic maps ⋮ Compact Hermitian surfaces of constant antiholomorphic sectional curvatures ⋮ Generalized Hopf manifolds, locally conformal Kaehler structures and real hypersurfaces ⋮ Submanifolds of generalized Hopf manifolds, type numbers and the first Chern class of the normal bundle ⋮ Generalized Kähler manifolds, commuting complex structures, and split tangent bundles ⋮ The Dolbeault operator on Hermitian spin surfaces ⋮ Hermitian spin surfaces with small eigenvalues of the Dolbeault operator. ⋮ On the Kähler-likeness on almost Hermitian manifolds ⋮ Weakly-Einstein Hermitian surfaces ⋮ Hermitian conformal classes and almost Kähler structures on 4-manifolds ⋮ Unnamed Item ⋮ Conformal Killing forms in Kähler geometry ⋮ Conformal duality and compact complex surfaces ⋮ Scalar curvatures in almost Hermitian geometry and some applications

Cites Work

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• Manifolds with positive curvature
• Some properties of locally conformal Kähler manifolds
• On the curvature of compact Hermitian manifolds
• On locally conformal almost Kaehler manifolds
• Curvature identities for Hermitian and almost Hermitian manifolds
• Nearly Kähler manifolds
• Kähler surfaces of nonnegative curvature
• Sur le problème d'équivalence de certaines structures infinitésimales
• Some Curvature Properties of Locally Conformal Kahler Manifolds
• On Locally and Globally Conformal Kahler Manifolds
• Fibrés hermitiens à endomorphisme de Ricci non négatif
• Chern Numbers and Curvature
• On the Structure of Compact Complex Analytic Surfaces, I
• Ricci-Calculus

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