Deformation of Kähler matrics to Kähler-Eisenstein metrics on compact Kähler manifolds.
Huai-Dong Cao (1985)
Inventiones mathematicae
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Huai-Dong Cao (1985)
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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.
P. Topiwala (1987)
Inventiones mathematicae
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P. Topiwala (1987)
Inventiones mathematicae
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Reese Harvey, H. Jr. Blaine Lawson (1983)
Inventiones mathematicae
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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.
Weiyue Ding, Gang Tian (1992)
Inventiones mathematicae
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Wei-Yue Ding (1988)
Mathematische Annalen
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A. Futaki (1983)
Inventiones mathematicae
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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.
Jürgen Bingener (1983)
Mathematische Zeitschrift
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Le Mau Hai, Nguyen Van Khue, Pham Hoang Hiep (2007)
Annales Polonici Mathematici
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We establish some results on ω-pluripolarity and complete ω-pluripolarity for sets in a compact Kähler manifold X with fundamental form ω. Moreover, we study subextension of ω-psh functions on a hyperconvex domain in X and prove a comparison principle for the class 𝓔(X,ω) recently introduced and investigated by Guedj-Zeriahi.
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.
Claude LeBrun, Simon Salamon (1994)
Inventiones mathematicae
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