In this paper, we study almost coKähler manifolds admitting k-almost Yamabe solitons (g,V,k,λ). First, we obtain a classification of almost coKähler (κ,μ)-manifolds admitting nontrivial closed k-almost Yamabe solitons. Next, we consider an almost α-coKähler manifold admitting a nontrivial k-almost Yamabe soliton and prove that it is locally the Riemannian product of an almost Kähler manifold with the real line if the potential vector field V is collinear with the Reeb vector field. For the potential vector field V being orthogonal to the Reeb vector field, we also obtain two results.

中文翻译：

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k-几乎 Yamabe 孤子和几乎 coKähler 流形

在本文中，我们研究了几乎 coKähler 流形承认ķ- 几乎 Yamabe 孤子(G,五,ķ,λ). 首先，我们得到一个几乎coKähler的分类(κ,μ)-承认非平凡封闭的流形ķ- 几乎是 Yamabe 孤子。接下来，我们考虑一个几乎α-coKähler 流形承认一个非平凡的ķ- 几乎 Yamabe 孤子，并证明它是一个几乎 Kähler 流形与实线的局部黎曼乘积，如果势矢量场五与 Reeb 向量场共线。对于势向量场五与 Reeb 向量场正交，我们也得到了两个结果。