A contact metric manifold satisfying a certain curvature condition

Jong Taek Cho

Displaying similar documents to “A contact metric manifold satisfying a certain curvature condition”

Second order parallel tensors on $(k, μ)$ -contact metric manifolds.

Mondal, A.K., De, U.C., Özgür, C. (2010)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Letizia Brunetti, Anna Maria Pastore (2013)

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Second order parallel tensors on $α$ – Sasakian manifold.

Das, Lovejoy (2007)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Some Properties of Lorentzian $α$ -Sasakian Manifolds with Respect to Quarter-symmetric Metric Connection

Santu DEY, Arindam BHATTACHARYYA (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The aim of this paper is to study generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci-symmetric, semi-generalized recurrent, semi-generalized Ricci-recurrent Lorentzian $α$ -Sasakian manifold with respect to quarter-symmetric metric connection. Finally, we give an example of 3-dimensional Lorentzian $α$ -Sasakian manifold with respect to quarter-symmetric metric connection.

$𝒟$ -homothetic Warping

David E. Blair (2013)

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Two theorems on $(ε)$ -Sasakian manifolds.

Xu, Xufeng, Chao, Xiaoli (1998)

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Indefinite almost paracontact metric manifolds.

Tripathi, Mukut Mani, Kılıç, Erol, Perktaş, Selcen Yüksel, Keleş, Sadık (2010)

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Contact manifolds, harmonic curvature tensor and $(k, μ)$ -nullity distribution

Basil J. Papantoniou (1993)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we give first a classification of contact Riemannian manifolds with harmonic curvature tensor under the condition that the characteristic vector field $ξ$ belongs to the $(k, μ)$ -nullity distribution. Next it is shown that the dimension of the $(k, μ)$ -nullity distribution is equal to one and therefore is spanned by the characteristic vector field $ξ$ .