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Mathematical analysis characterizes gradient eta-Ricci-Yamabe solitons on warped product manifolds, highlighting applications in spacetime geometry.
The main topic of this paper is to characterize gradient η -Ricci–Yamabe solitons on warped product manifolds. At first, we establish necessary and sufficient conditions under which a warped product manifold admits gradient η -Ricci–Yamabe solitons. Next, we deduce the condition under which a warped product manifold is conformal to a sphere in Euclidean space. Finally, we obtain some results in GRW space-times.
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Karaca et al. (2026) studied this question.
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