In this paper we classify pseudosymmetric and Ricci-pseudosymmetric (κ, µ)-contact metric manifolds in the sense of Deszcz. Next we characterize Weyl-pseudosymmetric (κ, µ)-contact metric manifolds.
We classify semisymmetric contact metric manifolds M 2n+1 (φ, ξ, η, g), n ≥ 2 with ξ -parallel tensor h , where 2h denotes the Lie derivative of the structure tensor φ in the direction of the characteristic vector field ξ .
In this paper we study solitons on 3-dimensional manifolds. In particular, we show that 3-dimensional pseudo-symmetric gradient Ricci solitons and nontrivial gradient Yamabe solitons are locally isometric to either R
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