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arXiv · 1707.07528

$\eta$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds

Adara Monica Blaga·Selcen Yüksel Perktaş·Bilal Eftal Acet·Feyza Esra Erdoğan
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Abstract

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.

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Adara Monica Blaga, Selcen Yüksel Perktaş, Bilal Eftal Acet, Feyza Esra Erdoğan. 2017-07-24. $\eta$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds. https://doi.org/10.3336/gm.53.1.14

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