On a problem of Yau regarding a higher dimensional generalization of the Cohn-Vossen inequality

DOI10.1007/S00208-012-0803-3zbMath1264.53043arXiv1104.0370OpenAlexW1995626671WikidataQ125264487 ScholiaQ125264487MaRDI QIDQ1938068

Bo Yang

Publication date: 1 February 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0370

zbMATH Keywords

bisectional curvatureCohn-Vossen inequalityRicci formnormalized total curvature

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global Riemannian geometry, including pinching (53C20)

Related Items (5)

Comparison theorem and integral of scalar curvature on three manifolds ⋮ Cohn-Vossen inequality on certain noncompact Kähler manifolds ⋮ Longtime existence of the Kähler-Ricci flow on ℂⁿ ⋮ Integral of scalar curvature on non-parabolic manifolds ⋮ Geometry of positive scalar curvature on complete manifold

Cites Work

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• Ancient solutions to Kähler-Ricci flow
• On the steinness of a class of Kähler manifolds
• Limits of solutions to the Kähler-Ricci flow
• On complete noncompact Kähler manifolds with positive bisectional curvature
• Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature.
• Non-negatively curved Kähler manifolds with average quadratic curvature decay
• A uniformization theorem for complete non-compact Kähler surfaces with positive bisectional curvature
• On the complex structure of Kähler manifolds with nonnegative curvature
• Volume growth and curvature decay of positively curved Kähler manifolds
• A Complete Kahler Metric of Positive Curvature on C n
• Pseudoconvexity and the problem of Levi
• A monotonicity formula on complete Kähler manifolds with nonnegative bisectional curvature

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