$η$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2017
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| Subjects: | |
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| _version_ | 1866916873793175552 |
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| author | Blaga, Adara Monica Perktaş, Selcen Yüksel Acet, Bilal Eftal Erdoğan, Feyza Esra |
| author_facet | Blaga, Adara Monica Perktaş, Selcen Yüksel Acet, Bilal Eftal Erdoğan, Feyza Esra |
| contents | The object of this paper is to study $η$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds. We investigate $η$-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field $ξ$ 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 $η$-Ricci solitons. Finally we obtain some results for $η$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds with a special view towards parallel symmetric (0,2)-tensor fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1707_07528 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | $η$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds Blaga, Adara Monica Perktaş, Selcen Yüksel Acet, Bilal Eftal Erdoğan, Feyza Esra Differential Geometry The object of this paper is to study $η$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds. We investigate $η$-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field $ξ$ 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 $η$-Ricci solitons. Finally we obtain some results for $η$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds with a special view towards parallel symmetric (0,2)-tensor fields. |
| title | $η$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/1707.07528 |