Certain results on N(k)-paracontact metric manifolds


Abstract


The purpose of this paper is to study conformally flat N(k)-paracontact metric manifolds. Also we study \eta-Ricci solitons on three-dimensional N(k)-paracontact metric manifolds. Finally, we study gradient Ricci solitons on three-dimensional contractible N(k)-paracontact metric manifolds.

DOI Code: 10.1285/i15900932v38n2p21

Keywords: $N(k)$-paracontact; conformally flat; $\eta$-Ricci soliton; gradient Ricci soliton; para-Sasakian manifold

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