The objective of this paper is to deal with Kenmotsu manifolds admitting η-Ricci-Yamabe solitons. First, it is proved that if a Kenmotsu manifold M which admits an η-Ricci-Yamabe soliton, then the manifold M is Einstein and is of constant scalar curvature. Then, some important characterizations, which classify Kenmotsu manifolds admitting such solitons, are obtained and an example given which supports our results.

中文翻译：

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关于承认 η-Ricci-Yamabe 孤子的 Kenmotsu 流形

本文的目的是处理 Kenmotsu 流形承认η-Ricci-Yamabe 孤子。首先，证明如果一个 Kenmotsu 流形米它承认一个η-Ricci-Yamabe 孤子，然后是流形米是爱因斯坦并且是恒定的标量曲率。然后，获得了一些重要的特征，这些特征对承认这种孤子的 Kenmotsu 流形进行了分类，并给出了一个支持我们结果的例子。