Compact Kaehler-Einstein surfaces of nonpositive bisectional curvature

DOI10.1007/BF01389278zbMath0491.53041MaRDI QIDQ1167433

Yum-Tong Siu, Paul C. Yang

Publication date: 1981

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142833

zbMATH Keywords

isometryEinstein metricscurvature pinchingbiholomorphismcomplex surfaces

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (6)

A new proof of a conjecture on nonpositive Ricci curved compact Kähler-Einstein surfaces ⋮ On bisectional nonpositively curved compact Kähler-Einstein surfaces ⋮ De nouvelles formules de Weitzenböck pour des endomorphismes harmoniques. Applications géométriques ⋮ Kähler-Einstein surface and symmetric space ⋮ Chern forms, Chern numbers and curvature conditions on a Kähler- Einstein surface ⋮ A gap theorem for Ricci-flat 4-manifolds

Cites Work

• Manifolds with positive curvature
• Projective manifolds with ample tangent bundles
• Compact Kähler manifolds of positive bisectional curvature
• A compact Kähler surface of negative curvature not covered by the ball
• Compact Kähler manifolds with nonnegative sectional curvature
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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