Minimal complex surfaces with Levi-Civita Ricci-flat metrics

DOI10.1007/s10114-018-7340-2zbMath1401.53062arXiv1706.01219OpenAlexW2964141518MaRDI QIDQ1782051

Ke Feng Liu, Xiao Kui Yang

Publication date: 18 September 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01219

zbMATH Keywords

Kodaira dimensionclassicationLevi-Civita Ricci-flat metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25) Kähler-Einstein manifolds (32Q20)

Related Items (7)

Scalar curvature, Kodaira dimension and \({{\widehat{A}}} \)-genus ⋮ Levi-Civita Ricci-flat metrics on non-Kähler Calabi-Yau manifolds ⋮ On the Gauduchon curvature of Hermitian manifolds ⋮ Scalar curvature on compact complex manifolds ⋮ On compact Hermitian manifolds with flat Gauduchon connections ⋮ Levi-Civita Ricci-flat metrics on compact complex manifolds ⋮ Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature

Cites Work

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• Inoue surfaces and the Chern-Ricci flow
• Regularity results for pluriclosed flow
• Balanced metrics on non-Kähler Calabi-Yau threefolds
• Big vector bundles and complex manifolds with semi-positive tangent bundles
• Hermitian manifolds with semi-positive holomorphic sectional curvature
• On the curvature of compact Hermitian manifolds
• Real homotopy theory of Kähler manifolds
• Gauduchon metrics with prescribed volume form
• On surfaces of class VII\(_0\)
• On the \(\partial\overline{\partial}\)-lemma and Bott-Chern cohomology
• On the evolution of a Hermitian metric by its Chern-Ricci form
• Balanced metrics on uniruled manifolds
• The Chern-Ricci flow and holomorphic bisectional curvature
• The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
• The pseudo-effective cone of a non-Kählerian surface and applications
• A priori estimates for Donaldson's equation over compact Hermitian manifolds
• Non-K\"ahler Calabi-Yau manifolds
• GEOMETRY OF HERMITIAN MANIFOLDS
• The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold
• Ricci curvatures on Hermitian manifolds
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Fibrés hermitiens à endomorphisme de Ricci non négatif
• A Parabolic Flow of Pluriclosed Metrics

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