Astheno-Kähler structures on Calabi-Eckmann manifolds
Koji Matsuo (2009)
Colloquium Mathematicae
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We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.
Koji Matsuo (2009)
Colloquium Mathematicae
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We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.
R. Goto (1994)
Geometric and functional analysis
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Sławomir Dinew (2007)
Annales Polonici Mathematici
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We study Cegrell classes on compact Kähler manifolds. Our results generalize some theorems of Guedj and Zeriahi (from the setting of surfaces to arbitrary manifolds) and answer some open questions posed by them.
Zbigniew Olszak (2003)
Colloquium Mathematicae
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It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.
Andrei Moroianu (2015)
Complex Manifolds
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We show that for n > 2 a compact locally conformally Kähler manifold (M2n , g, J) carrying a nontrivial parallel vector field is either Vaisman, or globally conformally Kähler, determined in an explicit way by a compact Kähler manifold of dimension 2n − 2 and a real function.
Włodzimierz Jelonek (2007)
Colloquium Mathematicae
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We study four-dimensional almost Kähler manifolds (M,g,J) which satisfy A. Gray's condition (G₃).
Michela Zedda (2017)
Complex Manifolds
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In this paper we study Kähler manifolds that are strongly not relative to any projective Kähler manifold, i.e. those Kähler manifolds that do not share a Kähler submanifold with any projective Kähler manifold even when their metric is rescaled by the multiplication by a positive constant. We prove two results which highlight some relations between this property and the existence of a full Kähler immersion into the infinite dimensional complex projective space. As application we get that...
M.J. Kreuzmann, P.-M. Wong (1990)
Mathematische Annalen
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Reese Harvey, H. Jr. Blaine Lawson (1983)
Inventiones mathematicae
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Mangione, Vittorio (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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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.
Włodzimierz Jelonek (2007)
Colloquium Mathematicae
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We study four-dimensional almost Kähler manifolds (M,g,J) which admit an opposite almost Kähler structure.
Claude LeBrun, Simon Salamon (1994)
Inventiones mathematicae
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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.
M. Levine (1983)
Inventiones mathematicae
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T. Napier, M. Ramachandran (1995)
Geometric and functional analysis
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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.
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.
G. Tian (1987)
Inventiones mathematicae
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