Remarks on the Existence Problem of Positive Kähler-Einstein Metrics.
Wei-Yue Ding (1988)
Mathematische Annalen
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Wei-Yue Ding (1988)
Mathematische Annalen
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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.
Jean Varouchas (1989)
Mathematische Annalen
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Wlodzimierz Jelonek (1996)
Mathematische Annalen
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Huai-Dong Cao (1985)
Inventiones mathematicae
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Moroianu, Andrei (1997)
General Mathematics
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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.
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.
Ken-ichi Sugiyama (1988)
Mathematische Annalen
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Akito Futaki, Toshiki Mabuchi (1995)
Mathematische Annalen
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G. Tian (1987)
Inventiones mathematicae
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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.
Gabriel Eduard Vîlcu (2010)
Annales Polonici Mathematici
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We study 3-submersions from a QR-hypersurface of a quaternionic Kähler manifold onto an almost quaternionic hermitian manifold. We also prove the non-existence of quaternionic submersions between quaternionic Kähler manifolds which are not locally hyper-Kähler.
Lucia Alessandrini, Marco Andreatta (1987)
Compositio Mathematica
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