η - * -Ricci solitons and paracontact geometry

The Journal of Analysis(2023)

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摘要
In this paper, we classify η - * -Ricci solitons in paracontact geometry. In particular, we characterize (2n+1) -dimensional para-Kenmotsu manifolds having an η - * -Ricci soliton and 3-dimensional para-Kenmotsu manifolds admitting a gradient η - * -Ricci soliton. Next, we classify 3-dimensional para-Sasakian manifolds admitting η - * -Ricci soliton and gradient η - * -Ricci soliton. Finally, we construct examples to illustrate our results.
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关键词
η - * -Ricci solitons,Gradient η - * -Ricci solitons,Paracontact geometry,Para-Kenmotsu manifolds,para-Sasakian manifolds
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