Abstract
In this paper, by using the strong maximum principle, we present a necessary and sufficient conditions for constructing gradient h˜-almost Ricci solitons with warped product structures, and give examples of particular solutions of the PDEs that arise from our construction. Also, we prove nonexistence results for gradient h˜-almost Ricci solitons on warped product manifolds under some natural assumptions concerning the warping function or gradient vector field.
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