Some properties of a closed concircular almost contact manifold.
Hirică, Iulia Elena, Mihai, Adela (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Hirică, Iulia Elena, Mihai, Adela (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Domingo Chinea, Juan Carlos Marrero, Juan Rocha (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Fetcu, Dorel (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Zbigniew Olszak (1989)
Colloquium Mathematicae
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Deszsz, Ryszard (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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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...
Hiroshi Sawai (2017)
Complex Manifolds
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The purpose of this paper is to prove that there exists a lattice on a certain solvable Lie group and construct a six-dimensional locally conformal Kähler solvmanifold with non-parallel Lee form.
Giovanni Bazzoni, Juan Carlos Marrero (2017)
Complex Manifolds
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We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We construct such an example on a compact 4-dimensional nilmanifold, not the product of a compact 3-manifold and a circle.
David E. Blair, José Antonio Oubiña (1990)
Publicacions Matemàtiques
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This paper studies conformal and related changes of the product metric on the product of two almost contact metric manifolds. It is shown that if one factor is Sasakian, the other is not, but that locally the second factor is of the type studied by Kenmotsu. The results are more general and given in terms of trans-Sasakian, α-Sasakian and β-Kenmotsu structures.