Gradient Ricci almost soliton warped product
| Autor: | Feitosa, F. E. S., Filho, A. A. Freitas, Gomes, J. N. V., Pina, R. S. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Journal of Geometry and Physics 143 (2019) 22-32 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.geomphys.2019.05.003 |
| Popis: | 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. Comment: Final version which has been accepted for publication in Journal of Geometry and Physics |
| Databáze: | arXiv |
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