Hyper Kähler and quaternionic Kähler geometry.
Andrew Swann (1991)
Mathematische Annalen
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Andrew Swann (1991)
Mathematische Annalen
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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.
Huai-Dong Cao (1985)
Inventiones mathematicae
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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.
Jürgen Bingener (1983)
Mathematische Zeitschrift
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Wlodzimierz Jelonek (1996)
Mathematische Annalen
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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.
G. Tian (1987)
Inventiones mathematicae
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Wafaa Batat, P. M. Gadea, Jaime Muñoz Masqué (2012)
Annales Polonici Mathematici
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The homogeneous quaternionic Kähler structures on the Alekseevskian 𝒲-spaces with their natural quaternionic structures, each of these spaces described as a solvable Lie group, and the type of such structures in Fino's classification, are found.
Wei-Yue Ding (1988)
Mathematische Annalen
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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.
R. Goto (1994)
Geometric and functional analysis
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Weiyue Ding, Gang Tian (1992)
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.
Bo Berndtsson (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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These are the lecture notes of a minicourse given at a winter school in Marseille 2011. The aim of the course was to give an introduction to recent work on the geometry of the space of Kähler metrics associated to an ample line bundle. The emphasis of the course was the role of convexity, both as a motivating example and as a tool.
Akito Futaki, Toshiki Mabuchi (1995)
Mathematische Annalen
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Vaisman, Izu (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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