Hyper Kähler and quaternionic Kähler geometry.
Andrew Swann (1991)
Mathematische Annalen
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Andrew Swann (1991)
Mathematische Annalen
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Johannes Huebschmann (2007)
Banach Center Publications
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The Kähler quotient of a complex reductive Lie group relative to the conjugation action carries a complex algebraic stratified Kähler structure which reflects the geometry of the group. For the group SL(n,ℂ), we interpret the resulting singular Poisson-Kähler geometry of the quotient in terms of complex discriminant varieties and variants thereof.
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.
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.
Huai-Dong Cao (1985)
Inventiones mathematicae
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Wlodzimierz Jelonek (1996)
Mathematische Annalen
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Jürgen Bingener (1983)
Mathematische Zeitschrift
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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.
Lucia Alessandrini, Marco Andreatta (1987)
Compositio Mathematica
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G. Tian (1987)
Inventiones mathematicae
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Mustafa Özkan, Murat İşcan (2014)
Annales Polonici Mathematici
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A Walker 4-manifold is a pseudo-Riemannian manifold (M₄,g) of neutral signature, which admits a field of parallel null 2-planes. We study almost paracomplex structures on 4-dimensional para-Kähler-Walker manifolds. In particular, we obtain conditions under which these almost paracomplex structures are integrable, and the corresponding para-Kähler forms are symplectic. We also show that Petean's example of a nonflat indefinite Kähler-Einstein 4-manifold is a special case of our constructions. ...
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.
R. Goto (1994)
Geometric and functional analysis
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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.
Vaisman, Izu (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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