具有半对称度量连接的近Kenmotsu流形上的Ricci孤子

G. Ayar, Dilek Demirhan
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引用次数: 6

摘要

本文给出了近似Kenmotsu流形上Ricci孤子的一些基本信息,以及该流形上满足半对称度量连接的一些结构。然后考虑了Ricci-递推流形和Φ-recurrent具有半对称度量连接的近Kenmotsu流形上Ricci孤子的一些重要结果和定理。在本文的最后一部分,我们研究了具有半对称度量连接的拟射影平面近Kenmotsu流形上的Ricci孤子。
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Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection
In this work, we give some basic informations about Ricci solitons on a nearly Kenmotsu manifold and some structures on this manifolds satisfying semi-symmetric metric connection. And then we consider some important results and theorems of Ricci solitons on Ricci-recurrent and Φ-recurrent nearly Kenmotsu manifolds with semi-symmetric metric connection. Also final part of the present paper, we study Ricci solitons on quasi-projectively flat nearly Kenmotsu manifolds with semi-symmetric metric connection.
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