Métriques d'Einstein-Kähler et exponentiel des fonctions admissibles. (Einstein-Kähler metrics and the exponential of admissable functions.)

DOI10.1016/0022-1236(90)90112-XzbMath0713.53039MaRDI QIDQ749892

Thierry Aubin

Publication date: 1990

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

zbMATH Keywords

Einstein-Kähler metricchern class

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (6)

Lower envelopes of admissible functions on complex projective space. Symmetric case ⋮ Monge-Ampère equations of geometric origin on certain algebraic varieties ⋮ Tian's invariant of the Grassmann manifold ⋮ Einstein-Kähler metrics on certain complex bundles ⋮ Lower bound of admissible functions on sphere ⋮ Einstein-Kähler metrics on a class of bundles involving integral weights.

Cites Work

• Réduction du cas positif de l'équation de Monge-Ampère sur les variétés Kählériennes compactes à la démonstration d'une inégalité
• On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
• Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
• Métriques riemanniennes et courbure
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
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