Kähler-Einstein metrics for manifolds with nonvanishing Futaki character

DOI10.2748/tmj/1178207477zbMath1040.53084OpenAlexW2074278407MaRDI QIDQ5949601

Toshiki Mabuchi

Publication date: 2 March 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178207477

zbMATH Keywords

Fano manifoldKähler-EinsteinFutaki character

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Fano varieties (14J45) Automorphisms of surfaces and higher-dimensional varieties (14J50)

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Cites Work

• Non-homogeneous Kähler-Einstein metrics on compact complex manifolds. II
• Einstein-Kähler forms, Futaki invariants and convex geometry on toric Fano varieties
• Kähler-Einstein metrics and integral invariants
• Bilinear forms and extremal Kähler vector fields associated with Kähler classes
• On existence of Kähler metrics with constant scalar curvature
• Multiplier Hermitian structures on Kähler manifolds
• Existence of Extremal Metrics on Compact Almost homogeneous Kahler Manifolds with Two Ends
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