Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics

DOI10.4007/annals.2014.180.2.1zbMath1307.53058arXiv1004.2012OpenAlexW2964108505MaRDI QIDQ742905

Xiuxiong Chen, Song Sun

Publication date: 19 September 2014

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2012

zbMATH Keywords

semi-stabilityKähler-EinsteinCalabi flowKähler metricsconstant scalar curvature metricsKempf-Ness theorem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geodesics in global differential geometry (53C22) Momentum maps; symplectic reduction (53D20) Geodesic flows in symplectic geometry and contact geometry (53D25) Almost complex manifolds (32Q60) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Deformations of complex structures (32G05) Notions of stability for complex manifolds (32Q26)

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