A flow of conformally balanced metrics with Kähler fixed points

DOI10.1007/s00208-019-01844-1zbMath1433.53100arXiv1805.01029OpenAlexW2963499315WikidataQ126019096 ScholiaQ126019096MaRDI QIDQ2314815

Sebastien Picard, Xiangwen Zhang, Duong H. Phong

Publication date: 30 July 2019

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

Full work available at URL: https://arxiv.org/abs/1805.01029

zbMATH Keywords

complex Monge-Ampère equationbalanced metricsNash-Moser implicit function theoremanomaly flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Related Items (7)

Estimates for a geometric flow for the type IIB string ⋮ Stability of the tangent bundle through conifold transitions ⋮ Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms ⋮ The anomaly flow on nilmanifolds ⋮ Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups ⋮ A Hermitian curvature flow ⋮ On the existence of balanced metrics on six-manifolds of cohomogeneity one

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