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• W2944283201 abstract "We present the necessary and sufficient conditions for constructing gradient Ricci almost solitons that are realized as warped products. This will be done by means of Bishop-O'Neill's formulas and a particular study of Riemannian manifolds satisfying a Ricci-Hessian type equation. We prove existence results and give an example of particular solutions of the PDEs that arise from our construction. We also prove a rigidity result for a gradient Ricci soliton Riemannian product in the class of gradient Ricci almost soliton warped products under some natural geometric assumptions on the warping function." @default.
• W2944283201 created "2019-05-16" @default.
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• W2944283201 date "2019-09-01" @default.
• W2944283201 modified "2023-09-26" @default.
• W2944283201 title "Gradient Ricci almost soliton warped product" @default.
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• W2944283201 doi "https://doi.org/10.1016/j.geomphys.2019.05.003" @default.
• W2944283201 hasPublicationYear "2019" @default.
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