On the Geometry $(k,\mu )$-Paracontact Metric Manifold Satisfying Certain Curvature Conditions

Yıl 2021, Cilt: 3 Sayı: 1, 16 - 22, 30.08.2021

Pakize Uygun , Mehmet Atçeken

Öz

In the present paper, we have studied the curvature tensors of (k,$\mu$)-paracontact metric manifold satisfying the conditions $\tilde{Z}(X,Y)\cdot R=0$, $\tilde{Z}$, \ $R(X,Y)\cdot \tilde{Z}=0$  and $R(X,Y)\cdot R=0$. According the cases, we have classified ($k,\mu$)-paracontact metric manifolds.

Anahtar Kelimeler

($k,\mu$)-paracontact manifold, $\eta$-Einstein manifold, concircular curvature tensor, Riemannian curvature tensor

Kaynakça

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