Some curvature estimates of Kähler-Ricci flow

DOI10.1090/proc/14436zbMath1504.32065OpenAlexW2900102817WikidataQ126077640 ScholiaQ126077640MaRDI QIDQ5377077

Luen-Fai Tam, Man-Chun Lee

Publication date: 23 May 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14436

zbMATH Keywords

Kähler manifolduniformizationKähler-Ricci flowholomorphic bisectional curvature

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Ricci flows (53E20)

Related Items (3)

Kähler manifolds with almost nonnegative curvature ⋮ Short-time existence for harmonic map heat flow with time-dependent metrics ⋮ Chern-Ricci flows on noncompact complex manifolds

Cites Work

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• \(\mathrm U(n)\)-invariant Kähler-Ricci flow with non-negative curvature
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• The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Ricci flow and the uniformization on complete noncompact Kähler manifolds
• \(\mathrm{U}(n)\)-invariant Kähler metrics with nonnegative quadratic bisectional curvature
• Local pinching estimates in 3-dim Ricci flow
• Ricci flow of non-collapsed three manifolds whose Ricci curvature is bounded from below
• A Compactness Property for Solutions of the Ricci Flow

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