On compact non-Kählerian manfolds admitting an almost Kähler structure
Holubowicz, Ryszard, Mozgawa, Witold
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Holubowicz, Ryszard, Mozgawa, Witold
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Włodzimierz Jelonek (2003)
Annales Polonici Mathematici
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The aim of this paper is to give an easy explicit description of 3-K-contact structures on SO(3)-principal fibre bundles over Wolf quaternionic Kähler manifolds.
Koji Matsuo, Takao Takahashi (2001)
Colloquium Mathematicae
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We prove that every compact balanced astheno-Kähler manifold is Kähler, and that there exists an astheno-Kähler structure on the product of certain compact normal almost contact metric manifolds.
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).
Kouei Sekigawa (1985)
Mathematische Annalen
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Koji Matsuo (2009)
Colloquium Mathematicae
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We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.
T. Napier, M. Ramachandran (1995)
Geometric and functional analysis
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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.
М.А. Малахальцев (1991)
Trudy Geometriceskogo Seminara
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Habib Bouzir, Gherici Beldjilali, Mohamed Belkhelfa, Aissa Wade (2017)
Archivum Mathematicum
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The aim of this paper is two-fold. First, new generalized Kähler manifolds are constructed starting from both classical almost contact metric and almost Kählerian manifolds. Second, the transformation construction on classical Riemannian manifolds is extended to the generalized geometry setting.
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.
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.
Dacko, Piotr (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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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.