Ricci-Yamabe solitons on a Walker 3-manifold
Differential Geometry
2025-09-03 v1
Abstract
This paper is devoted to the study of Ricci-Yamabe solitons on a particular class of Walker manifolds in dimension 3. We consider a Walker metric where the function f depends on the three coordinates. The novelty of our research lies in the fact that the soliton field is found from the Hodge decomposition of De-Rham with the potential function. We classify all Ricci Yamabe and gradient Ricci-Yamabe soliton in a given Walker 3-manifold by using this decomposition. Many examples are given in this paper for illustrating our results.
Keywords
Cite
@article{arxiv.2509.01764,
title = {Ricci-Yamabe solitons on a Walker 3-manifold},
author = {Abdou Bousso and Ameth Ndiaye},
journal= {arXiv preprint arXiv:2509.01764},
year = {2025}
}