$\eta$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds
| Autor: | Blaga, Adara Monica, Perktaş, Selcen Yüksel, Acet, Bilal Eftal, Erdoğan, Feyza Esra |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Glasnik Matematicki, vol. 53, no. 1, 2018, (377-410) |
| Druh dokumentu: | Working Paper |
| Popis: | The object of this paper is to study $\eta$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds. We investigate $\eta$-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field $\xi$ of the $(\varepsilon)$-almost paracontact metric manifold and when the potential vector field is torse-forming. We also study Einstein-like and $(\varepsilon)$-para Sasakian manifolds admitting $\eta$-Ricci solitons. Finally we obtain some results for $\eta$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds with a special view towards parallel symmetric (0,2)-tensor fields. Comment: 20 pages |
| Databáze: | arXiv |
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