On the convergence of the Calabi flow

DOI10.1090/S0002-9939-2014-12318-5zbMath1314.53129arXiv1303.3056MaRDI QIDQ5496463

Weiyong He

Publication date: 2 February 2015

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

Full work available at URL: https://arxiv.org/abs/1303.3056

zbMATH Keywords

Calabi flowconstant scalar curvature metric

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items

Convexity of the extended K-energy and the large time behavior of the weak Calabi flow ⋮ The Kähler-Ricci flow and optimal degenerations ⋮ Regularity scales and convergence of the Calabi flow ⋮ The long-time behavior of modified Calabi flow ⋮ On sharp lower bounds for Calabi-type functionals and destabilizing properties of gradient flows ⋮ Kähler-Ricci flow, Kähler-Einstein metric, and K-stability ⋮ Compactness of Kähler metrics with bounds on Ricci curvature and \({\mathcal{I}}\) functional ⋮ The inverse Monge-Ampère flow and applications to Kähler-Einstein metrics ⋮ A Chern-Calabi flow on Hermitian manifolds

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