A note on gradient Solitons on two classes of almost Kenmotsu Manifolds

TL;DR

This paper characterizes gradient quasi-Einstein solitons on two classes of almost Kenmotsu manifolds and provides an example to illustrate the findings.

Contribution

It introduces a characterization of gradient quasi-Einstein solitons specifically within certain classes of almost Kenmotsu manifolds, expanding understanding in this geometric context.

Findings

Characterization of gradient (m,ρ)-quasi Einstein solitons on almost Kenmotsu manifolds

Identification of conditions under which these solitons exist

An example illustrating the theoretical results

Abstract

The purpose of the article is to characterize \textbf{gradient $(m,\rho)$-quasi Einstein solitons} within the framework of two classes of almost Kenmotsu Manifolds. Finally, we consider an example to justify a result of our paper.