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Gradient Ricci almost soliton warped pro...
Feitosa, F. E. S....
Gradient Ricci almost soliton warped product by Feitosa, F. E. S. ( Author )
Australian National University
10-07-2015
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.
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English
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MYR 0.00
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https://arxiv.org/abs/1507.03038
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