论文标题
几乎是kenmotsu公制的Yamabe Soliton
Almost Kenmotsu metric as quasi Yamabe soliton
论文作者
论文摘要
在本文中,我们表征了一类几乎肯莫图的歧管,承认了Yamabe Soliton。结果表明,如果$(k,μ)'$ - 几乎是肯莫图斯(Kenmotsu)承认yamabe soliton $(g,v,v,λ,α)$ a $ v $ coptsise colinear与$ξ$,(1)$ v $,那么(1)$ v $是常数的$之一(2)$ v $,(2)$ v $ in Infinitesimal contractity $ for noth os(3)$(3)$(3)$(3)矢量字段$ x $。最后,提出了一个说明性示例以支持结果。
In the present paper, we characterize a class of almost Kenmotsu manifolds admitting quasi Yamabe soliton. It is shown that if a $(k,μ)'$-almost Kenmotsu manifold admits a quasi Yamabe soliton $(g,V,λ,α)$ with $V$ pointwise collinear with $ξ$, then (1) $V$ is a constant multiple of $ξ$, (2) $V$ is a strict infinitesimal contact transformation and (3) $(£_V h')X = 0$ for any vector field $X$. Finally an illustrative example is presented to support the result.