A new variational method for finding Einstein metrics on compact Kähler manifolds. I

DOI10.1016/0022-1236(88)90032-8zbMath0658.53063OpenAlexW2076907828MaRDI QIDQ1111181

Melvyn S. Berger, Pascal Cherrier

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90032-8

zbMATH Keywords

Chern classKähler-Einstein metricscomplex Monge-Ampere equation

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Critical metrics (58E11)

Cites Work

• Réduction du cas positif de l'équation de Monge-Ampère sur les variétés Kählériennes compactes à la démonstration d'une inégalité
• Riemannian structures of prescribed Gaussian curvature for compact 2- manifolds
• Calabi's conjecture and some new results in algebraic geometry
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
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