Convexity on the space of Kähler metrics

DOI10.5802/afst.1387zbMath1408.53001OpenAlexW2035591873MaRDI QIDQ394250

Bo Berndtsson

Publication date: 24 January 2014

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://afst.cedram.org:80/afst-bin/item?id=AFST_2013_6_22_4_713_0

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact Kähler manifolds: generalizations, classification (32J27) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (11)

Evans-Krylov estimates for a nonconvex Monge-Ampère equation ⋮ Regularizing properties of the twisted Kähler-Ricci flow ⋮ A curvature formula associated to a family of pseudoconvex domains ⋮ Interpolation, Prekopa and Brunn-Minkowski for \(F\)-subharmonicity ⋮ Asymptotic slopes of the Aubin-Yau functional and calculation of the Donaldson-Futaki invariant ⋮ The Dirichlet problem for the complex homogeneous Monge-Ampère equation ⋮ A proof of Demailly's strong openness conjecture ⋮ A remark on the Alexandrov-Fenchel inequality ⋮ Regularity of geodesic rays and Monge-Ampère equations ⋮ Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics ⋮ On the Iitaka conjecture \(C_{n,m}\) for Kähler fibre spaces

Cites Work

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• Complex Monge-Ampere and Symplectic Manifolds
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