A new proof of a conjecture on nonpositive Ricci curved compact Kähler-Einstein surfaces

DOI10.3390/math6020021zbMath1472.53083OpenAlexW2793668053WikidataQ122924400 ScholiaQ122924400MaRDI QIDQ1657270

Zhuang-Dan Daniel Guan

Publication date: 13 August 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6020021

zbMATH Keywords

Kähler-Einstein metricscompact complex surfacespinching of the curvatures

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact Riemann surfaces and uniformization (30F10) Calabi-Yau theory (complex-analytic aspects) (32Q25)

Cites Work

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• Hamiltonian 2-forms in Kähler geometry. III: Extremal metrics and stability
• Curvature characterization of compact Hermitian symmetric spaces
• Compact Kaehler-Einstein surfaces of nonpositive bisectional curvature
• Kähler-Einstein metrics of cohomogeneity one
• Kähler manifolds with large isometry group
• Kähler-Einstein surface and symmetric space
• On bisectional nonpositively curved compact Kähler-Einstein surfaces
• On the de Rham cohomology of solvmanifolds
• De nouvelles formules de Weitzenböck pour des endomorphismes harmoniques. Applications géométriques
• On Guan's examples of simply connected non-Kahler compact complex manifolds

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