Abstract

The aim of this paper is to examine normal metric contact pair (NMCP) manifolds under the flatness conditions ongeneralized quasi-conformal (GQC) curvature tensor. It is interested to classify GQC-flat and GQC-Z-flat NMCPmanifolds. We prove that a GQC-flat NMCP manifold is a generalized quasi-Einstein (GQE) manifold and also, suchmanifolds are the space of generalized quasi-constant curvature. Finally, we consider the sectional curvature of NMCPmanifolds under the flatness conditions of GQC curvature tensor.

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