论文标题
几乎肯莫图（Kenmotsu
Almost Kenmotsu manifolds admitting certain vector fields
论文作者
论文摘要
在本文中，我们表征了几乎肯莫图的流形，该歧管承认霍明型平面共形矢量（HPCV）字段。我们已经表明，如果几乎是kenmotsu歧管$ m^{2n+1} $接纳一个非零的hpcv field $ v $，以便$ ϕv = 0 $，则$ m^{2n+1} $是本地的几乎是kaehler歧管的扭曲产物。作为推论，我们几乎可以获得几乎是Kenmotsu歧管的分类，即kenmotsu歧管，也证明D的整体流形完全是$ M^{2n+1} $的脐带submanifolds。此外，我们证明，如果几乎具有正常$ξ$ -Sectional curvature的肯莫茨流形承认非零的HPCV Field $ V $，那么$ M^{2n+1} $是本地扭曲的产品，几乎是Kaehler歧管，并且是一个空地的开放间隔或范围。此外，A $（k，μ）'$ - 几乎是Kenmotsu歧管，承认hpcv field $ v $，以至于$ ϕv = 0 $是本地等距到$ \ mathbb {h}^{n+1}（-4）\ times \ times \ times \ mathbb {r}^n $或$ v $ a $ h'$ hh'$ h'$ h'$ h'最后，提出了一个示例。
In the present paper, we characterize almost Kenmotsu manifolds admitting holomorphically planar conformal vector (HPCV) fields. We have shown that if an almost Kenmotsu manifold $M^{2n+1}$ admits a non-zero HPCV field $V$ such that $ϕV = 0$, then $M^{2n+1}$ is locally a warped product of an almost Kaehler manifold and an open interval. As a corollary of this we obtain few classifications of an almost Kenmotsu manifold to be a Kenmotsu manifold and also prove that the integral manifolds of D are totally umbilical submanifolds of $M^{2n+1}$. Further, we prove that if an almost Kenmotsu manifold with positive constant $ξ$-sectional curvature admits a non-zero HPCV field $V$, then either $M^{2n+1}$ is locally a warped product of an almost Kaehler manifold and an open interval or isometric to a sphere. Moreover, a $(k,μ)'$-almost Kenmotsu manifold admitting a HPCV field $V$ such that $ϕV = 0$ is either locally isometric to $\mathbb{H}^{n+1}(-4) \times \mathbb{R}^n$ or $V$ is an eigenvector of $h'$. Finally, an example is presented.
