On the Pseudo-Quasi Conformal Curvature Tensor of a Normal Paracontact Metric Manifold

Year 2020, Volume: 12 Issue: 1, 49 - 55, 29.06.2020

Ümit Yıldırım , Mehmet Atceken , Süleyman Dirik

Abstract

In the present paper we have studied the curvature tensor of a normal paracontact metric manifold satisfying the conditions $ R(\xi,X) \widetilde{C}=0 $, $ \widetilde{C}(\xi,X)S=0 $, $ \widetilde{C}(\xi,X)P=0 $, $ \widetilde{C}(\xi,X)\widetilde{Z}=0 $ and pseudo quasi conformal flat, where $ R $, $ P $, $ S $, $ \widetilde{Z} $ and $ \widetilde{C} $ are the Riemannian curvature, projective curvature, Ricci, concircular curvature and pseudo-quasi conformal curvature tensors, respectively.                                                                                                                                                              

Keywords

Pseudo quasi conformal curvature tensor, normal paracontact, projective, concircular

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