Characterizations of $\ast$-Ricci-Bourguignon solitons on Kenmotsu manifolds

TL;DR

This paper investigates the properties and curvature conditions of $ ext{Ricci-Bourguignon}$ solitons on Kenmotsu manifolds, providing new characterizations, conditions, and an explicit example in five dimensions.

Contribution

It introduces new features and curvature properties of $ ext{Ricci-Bourguignon}$ solitons on Kenmotsu manifolds, including conditions for various types and an explicit 5D example.

Findings

Conditions for $ ext{Ricci-Bourguignon}$ solitons to be compressing, balancing, or enlarging.

Curvature properties of Kenmotsu manifolds admitting such solitons.

An explicit 5-dimensional example of a Kenmotsu manifold with $ ext{Ricci-Bourguignon}$ soliton.

Abstract

In this paper, we have found some features of $\ast$- Ricci Bourguignon Soliton on Kenmotsu manifold. We estimated the conditions for $\ast$-Ricci Bourguignon on Kenmotsu manifold to be compressing, balancing or enlarging accordingly. We have found some curvature properties of Kenmotsu manifold admitting $\ast$-Ricci Bourguignon Soliton. Additionally, we have featured $\ast$-Ricci Bourguignon on Kenmotsu manifold with torse-forming vector field. Finally, we proved an example of $5$-dimensional Kenmotsu manifold on $\ast$-Ricci Bourguignon Soliton.