Abstract

The objective of the present paper is to carry out η-Ricci Yamabe soliton on LP-Sasakian manifolds satisfying certain curvature conditions R(ζ ,U1)· S = 0 and S(ζ ,U1)·R = 0. The above mentioned team has study gradient η-Ricci Yamabe soliton and cyclic Ricci tensor on LP-Sasakian manifolds admit with η-Ricci Yamabe solitons. Further we have study the conditions for the η-Ricci Yamabe solitons to be shrinking, expanding or steady.

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