Abstract
In this paper, we study ?-Ricci solitons on N(k)-contact metric manifolds. At first we consider ?-Ricci solitons on N(k)-contact metric manifolds with harmonic curvature tensor. Then we study ?-Ricci solitons onN(k)-contact metric manifolds with harmonic Weyl tensor. Moreover, we consider ?-Ricci soliton on N(k)-contact metric manifolds with ?-parallel Ricci tensor. Also ?-Ricci soliton on N(k)-contact metric manifolds satisfying some curvature restrictions under projective curvature tensor have been considered. Finally, the existence of an ?-Ricci soliton on a 3-dimensional N(k)-contact metric manifold is ensured by a proper example.
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