论文标题
$ n（k）$ - 与$ \ ast $ - 符合条件的ricci soliton联系公制
$N(k)$-contact metric as $\ast$-conformal Ricci soliton
论文作者
论文摘要
本文的目的是表征一类接触度量歧管，承认$ \ ast $ - 符合条件的Ricci Soliton。 It is shown that if a $(2n + 1)$-dimensional $N(k)$-contact metric manifold $M$ admits $\ast$-conformal Ricci soliton or $\ast$-conformal gradient Ricci soliton, then the manifold M is $\ast$-Ricci at and locally isometric to the Riemannian of a flat $(n + 1)$-dimensional consant曲率4的歧管和$ n $二维流形，$ n> 1 $，flat flat for $ n = 1 $。此外，对于第一种情况，Soliton Vector Field是共形的，对于$ \ ast $ - 差异案例，潜在函数$ f $是谐波或满足泊松方程。最后，提出了一个示例以支持结果。
The aim of this paper is characterize a class of contact metric manifolds admitting $\ast$-conformal Ricci soliton. It is shown that if a $(2n + 1)$-dimensional $N(k)$-contact metric manifold $M$ admits $\ast$-conformal Ricci soliton or $\ast$-conformal gradient Ricci soliton, then the manifold M is $\ast$-Ricci at and locally isometric to the Riemannian of a flat $(n + 1)$-dimensional manifold and an $n$-dimensional manifold of constant curvature 4 for $n > 1$ and flat for $n = 1$. Further, for the first case, the soliton vector field is conformal and for the $\ast$-gradient case, the potential function $f$ is either harmonic or satisfy a Poisson equation. Finally, an example is presented to support the results.
