A CLASSIFICATION OF (κ, μ)-CONTACT METRIC MANIFOLDS

Title & Authors
A CLASSIFICATION OF (κ, μ)-CONTACT METRIC MANIFOLDS
Yildiz, Ahmet; De, Uday Chand;

Abstract
In this paper we study $\small{h}$-projectively semisymmetric, $\small{{\phi}}$-pro-jectively semisymmetric, $\small{h}$-Weyl semisymmetric and $\small{{\phi}}$-Weyl semisym- metric non-Sasakian ($\small{k}$, $\small{{\mu}}$)-contact metric manifolds. In all the cases the manifold becomes an $\small{{\eta}}$-Einstein manifold. As a consequence of these results we obtain that if a 3-dimensional non-Sasakian ($\small{k}$, $\small{{\mu}}$)-contact metric manifold satisfies such curvature conditions, then the manifold reduces to an N($\small{k}$)-contact metric manifold.
Keywords
semisymmetric spaces;($\small{k}$, $\small{{\mu}}$)-contact metric manifolds;non-Sasakian manifolds;$\small{{\eta}}$-Einstein manifolds;$\small{h}$-projectively semisymmetric;$\small{{\phi}}$-projectively semisymmetric;$\small{h}$-Weyl semisymmetric;$\small{{\phi}}$-Weyl semisymmetric;
Language
English
Cited by
1.
ON GENERALIZED QUASI-CONFORMAL N(k, μ)-MANIFOLDS,;;

대한수학회논문집, 2016. vol.31. 1, pp.163-176
2.
CERTAIN SEMISYMMETRY PROPERTIES OF (𝜅, 𝜇)-CONTACT METRIC MANIFOLDS,;;;

대한수학회보, 2016. vol.53. 4, pp.1237-1247
1.
CERTAIN SEMISYMMETRY PROPERTIES OF (𝜅, 𝜇)-CONTACT METRIC MANIFOLDS, Bulletin of the Korean Mathematical Society, 2016, 53, 4, 1237
2.
ϕ-semisymmetric generalized Sasakian space-forms, Arab Journal of Mathematical Sciences, 2015, 21, 2, 170
3.
ON GENERALIZED QUASI-CONFORMAL N(k, μ)-MANIFOLDS, Communications of the Korean Mathematical Society, 2016, 31, 1, 163
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