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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Kharazishvili, Aleksander (2015-11-18T17:36:18Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Kharazishvili, Aleksander (2015-10-26T11:52:18Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Deszsz, Ryszard (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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Kouei Sekigawa (1985)
Mathematische Annalen
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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).
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.
Fetcu, Dorel (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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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.
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. ...
Lemence, R.S., Oguro, T., Sekigawa, K. (2004)
International Journal of Mathematics and Mathematical Sciences
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Francisco Martín Cabrera (1998)
Czechoslovak Mathematical Journal
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We consider almost hyper-Hermitian structures on principal fibre bundles with one-dimensional fiber over manifolds with almost contact 3-structure and study relations between the respective structures on the total space and the base. This construction suggests the definition of a new class of almost contact 3-structure, which we called trans-Sasakian, closely connected with locally conformal quaternionic Kähler manifolds. Finally we give a family of examples of hypercomplex manifolds...
Sebastian Goette (2014)
Journal of the European Mathematical Society
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As an application, we compute the Eells–Kuiper and t-invariants of certain cohomogeneity one manifolds that were studied by Dearricott, Grove, Verdiani, Wilking, and Ziller. In particular, we determine the diffeomorphism type of a new manifold of positive sectional curvature.