Ricci-Yamabe solitons on a Walker 3-manifold

2025/09/01 by Bousso, Abdou, Ndiaye, Ameth
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.01764

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.

Citations

• Ricci-Yamabe Soliton on a Class of 4-Dimensional Walker Manifolds
• On gradient Ricci solitons
• On gradient Ricci solitons with Symmetry

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