Complex Monge-Ampère equations and geodesics in the space of Kähler metrics. Lecture notes

DOI10.1007/978-3-642-23669-3zbMath1251.32001OpenAlexW1249392224MaRDI QIDQ639220

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Publication date: 19 September 2011

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-23669-3

zbMATH Keywords

plurisubharmonic functionsMonge-Ampère equationBergman metricsKähler-Einstein metricsgeodesics in infinite dimensional spacesstochastic analysis of PDE

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25) Proceedings, conferences, collections, etc. pertaining to differential geometry (53-06) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Kähler manifolds (32Q15) Critical metrics (58E11) Kähler-Einstein manifolds (32Q20) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces (32-06) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

Related Items (10)

Interpolation of weighted extremal functions ⋮ Kiselman's principle, the Dirichlet problem for the Monge-Ampère equation, and rooftop obstacle problems ⋮ Local geodesics for plurisubharmonic functions ⋮ Envelopes of positive metrics with prescribed singularities ⋮ Harmonic discs of solutions to the complex homogeneous Monge-Ampère equation ⋮ Plurisubharmonic geodesics and interpolating sets ⋮ Geometric methods of complex analysis. Abstracts from the workshop held May 16--22, 2021 (hybrid meeting) ⋮ The Dirichlet problem for the complex homogeneous Monge-Ampère equation ⋮ Geometry and topology of the space of plurisubharmonic functions ⋮ Kähler-Einstein metrics: old and new

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