The purpose of this article is to study the almost Ricci-Bourguignon soliton on warped product space. Some results for solenoidal and concurrent vector fields are obtained on warped product space with almost Ricci-Bourguignon soliton. We provide the relation between the warped manifold and its base manifold (fiber manifold) for an almost Ricci-Bourguignon soliton. We also generalize the Bochner formula in warped product space. Next, we study the Riemannian map whose total manifold admits an almost Ricci-Bourguignon soliton. We find the condition for a kernel of Riemannian map to become an almost Ricci-Bourguignon soliton. Moreover, we give an example for almost Ricci-Bourguignon soliton on warped product space.

本文的目的是研究翘曲乘积空间上的近乎里奇-布吉尼翁孤子。螺线管和并发矢量场的一些结果是在具有几乎 Ricci-Bourguignon 孤子的扭曲积空间上获得的。我们提供了几乎 Ricci-Bourguignon 孤子的扭曲流形与其基本流形（纤维流形）之间的关系。我们还在翘曲乘积空间中推广了博赫纳公式。接下来，我们研究黎曼映射，其总流形承认几乎 Ricci-Bourguignon 孤子。我们找到了黎曼映射核成为近乎里奇-布吉尼翁孤子的条件。此外，我们给出了扭曲乘积空间上的几乎 Ricci-Bourguignon 孤子的例子。