Gradient Ricci almost soliton warped product
| Autor: | F. E. S. Feitosa, Romildo Pina, A.A. Freitas Filho, José N. V. Gomes |
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| Rok vydání: | 2019 |
| Předmět: |
Mathematics - Differential Geometry
Class (set theory) Pure mathematics 010102 general mathematics General Physics and Astronomy Rigidity (psychology) 01 natural sciences Warping function Ricci soliton Type equation Differential Geometry (math.DG) Product (mathematics) 0103 physical sciences FOS: Mathematics Mathematics::Differential Geometry 010307 mathematical physics Geometry and Topology Soliton Primary 53C15 53C25 Secondary 53C21 0101 mathematics Mathematical Physics Mathematics |
| Zdroj: | Journal of Geometry and Physics. 143:22-32 |
| ISSN: | 0393-0440 |
| 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. Final version which has been accepted for publication in Journal of Geometry and Physics |
| Databáze: | OpenAIRE |
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