Some properties of the locally conformal Kähler manifold
Mileva Prvanović (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Displaying similar documents to “On locally conformal Kähler space forms.”
Some properties of the locally conformal Kähler manifold
On the integrability of a -conformal Killing equation in a Kaehlerian manifold.
Takano, Kazuhiko (1991)
International Journal of Mathematics and Mathematical Sciences
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The conformal change of the metric of an almost Hermitian manifold applied to the antiholomorphic curvature tensor
Mileva Prvanović (2013)
Communications in Mathematics
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By using the technique of decomposition of a Hermitian vector space under the action of a unitary group, Ganchev [2] obtained a tensor which he named the Weyl component of the antiholomorphic curvature tensor. We show that the same tensor can be obtained by direct application of the conformal change of the metric to the antiholomorphic curvature tensor. Also, we find some other conformally curvature tensors and examine some relations between them.
On a class of Ricci-recurrent manifolds.
Ewert-Krzemieniewski, Stanislaw (2003)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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On fibred Sasakian spaces with vanishing contact Bochner curvature tensor
Kazuhiko Takano (1993)
Colloquium Mathematicae
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B-connections and their conformal invariants on conformally Kähler manifolds with B-metric.
Ganchev, Georgi, Gribachev, Kostadin, Mikhova, Vesselka (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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On the quasi-conformal curvature tensor of a Kenmotsu manifold.
Özgür, Cihan, De, Uday Chand (2006)
Mathematica Pannonica
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D-conharmonic change in a special para-Sasakian manifold.
Prvanović, Mileva (1991)
Mathematica Pannonica
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On the AC-contact Bochner curvature tensor field on almost cosymplectic manifolds.
Endo, Hiroshi (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Conformal change of the metric on almost anti-Hermitian manifolds
Mileva Prvanović (2012)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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On Bochner flat para-Kählerian manifolds
Dorota Łuczyszyn (2005)
Open Mathematics
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Let B be the Bochner curvature tensor of a para-Kählerian manifold. It is proved that if the manifold is Bochner parallel (∇ B = 0), then it is Bochner flat (B = 0) or locally symmetric (∇ R = 0). Moreover, we define the notion of tha paraholomorphic pseudosymmetry of a para-Kählerian manifold. We find necessary and sufficient conditions for a Bochner flat para-Kählerian manifold to be paraholomorphically pseudosymmetric. Especially, in the case when the Ricci operator is diagonalizable,...