In this paper, we aim to characterize the sequential warped product $\kappa$-almost gradient conformal Ricci–Bourguignon soliton. We derive applications of some vector fields like conformal vector field, torse-forming vector field, torqued vector field on $\kappa$-almost conformal Ricci–Bourguignon soliton. The inheritance properties of the Einstein-like sequential warped product $\kappa$-almost gradient conformal Ricci–Bourguignon solitons of class types $\mathbb{P},𝔸,𝔹$ are investigated in this paper. Later we show that if $\bar{M}=(M_1{\times }_f{I}_{M_2}){\times }_{\bar{f}}{I}_{M_3}$ is a sequential warped product of a complete connected $(n-2)$-dimensional Riemannian manifold $M_1$ and one-dimensional Riemannian manifolds $I_{M_2}$ and $I_{M_3}$ admitting $\kappa$-almost conformal Ricci–Bourguignon soliton, then $(M_1,g_1)$ becomes a $(n-2)$-dimensional sphere of radius $\rho =\frac{n-2}{\sqrt{r^1+(\mu -\frac{1}{2}(p+\frac{2}{n})+\rho R)(4-n)}}$. We have discovered that for a $\kappa$-almost gradient conformal Ricci–Bourguignon soliton sequential warped product, the warping functions are constants under certain conditions.

在本文中，我们的目标是描述顺序翘曲产品的特征$\kappa$- 几乎梯度共形 Ricci-Bourguignon 孤子。我们推导了一些矢量场的应用，如共形矢量场、扭转形成矢量场、扭转矢量场$\kappa$-几乎共形的里奇-布吉尼翁孤子。类爱因斯坦序列扭曲积的继承性质$\kappa$-类类型的几乎梯度共形 Ricci-Bourguignon 孤子$\mathbb{P},𝔸,𝔹$本文对此进行了研究。后来我们证明如果$\overline{\mathrm{中号}}=（{\mathrm{中号}}_1{\times }_F{我}_{{\mathrm{中号}}_2}）{\times }_{\bar{F}}{我}_{{\mathrm{中号}}_3}$是完全连接的顺序扭曲乘积$（n-2）$维黎曼流形${\mathrm{中号}}_1$和一维黎曼流形${我}_{{\mathrm{中号}}_2}$和${我}_{{\mathrm{中号}}_3}$承认$\kappa$- 几乎共形 Ricci-Bourguignon 孤子，那么$（{\mathrm{中号}}_1,G_1）$成为一个$（n-2）$半径维球体$\rho =\frac{n-2}{\sqrt{r^1+（\mu -\frac{1}{2}（p+\frac{2}{n}）+\rho 右）（4-n）}}$。我们发现对于一个$\kappa$-几乎梯度共形的Ricci-Bourguignon孤子序列翘曲积，翘曲函数在一定条件下是常数。