Almost $$\eta $$-Ricci solitons on Kenmotsu manifolds

نویسندگان

چکیده

We characterize the Einstein metrics in such broad classes of as almost $$\eta $$ -Ricci solitons and on Kenmotsu manifolds, generalize some known results. First, we prove that a metric an soliton is if either it -Einstein or potential vector field V infinitesimal contact transformation collinear to Reeb field. Further, manifold admits gradient with leaving scalar curvature invariant, then manifold. Finally, present new examples solitons, which illustrate our

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ژورنال

عنوان ژورنال: European journal of mathematics

سال: 2021

ISSN: ['2199-675X', '2199-6768']

DOI: https://doi.org/10.1007/s40879-021-00474-9