Scalar-flat Kähler surfaces of all genera.
Jongsu Kim, C., Pontecorvo, M. LeBrun (1997)
Journal für die reine und angewandte Mathematik
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Jongsu Kim, C., Pontecorvo, M. LeBrun (1997)
Journal für die reine und angewandte Mathematik
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Daniele Angella, Cristiano Spotti (2017)
Complex Manifolds
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We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability). These are the notes for the SMI course "Kähler-Einstein metrics" given by C.S. in Cortona (Italy), May 2017. The material is not intended to be original.
Wei-Yue Ding (1988)
Mathematische Annalen
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C.M. Wood (1993)
Journal für die reine und angewandte Mathematik
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Huai-Dong Cao (1985)
Inventiones mathematicae
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Ngaiming Mok (1997)
Journal für die reine und angewandte Mathematik
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P. Topiwala (1987)
Inventiones mathematicae
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G. Tian (1987)
Inventiones mathematicae
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P. Topiwala (1987)
Inventiones mathematicae
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Claude LeBrun (1991)
Journal für die reine und angewandte Mathematik
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Włodzimierz Jelonek (2012)
Colloquium Mathematicae
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The aim of this paper is to present examples of holomorphically pseudosymmetric Kähler metrics on the complex projective spaces ℂℙⁿ, where n ≥ 2.
Simone Calamai, David Petrecca (2017)
Complex Manifolds
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In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.
Julien Keller, Christina Tønnesen-Friedman (2012)
Open Mathematics
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We provide nontrivial examples of solutions to the system of coupled equations introduced by M. García-Fernández for the uniformization problem of a triple (M; L; E), where E is a holomorphic vector bundle over a polarized complex manifold (M, L), generalizing the notions of both constant scalar curvature Kähler metric and Hermitian-Einstein metric.
Tristan C. Collins, Valentino Tosatti (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove an extension theorem for Kähler currents with analytic singularities in a Kähler class on a complex submanifold of a compact Kähler manifold.
Jürgen Bingener (1983)
Mathematische Zeitschrift
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