Ricci-Yamabe solitons on a Walker 3-manifold

Abdou Bousso; Ameth Ndiaye

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arXiv · 2509.01764

Ricci-Yamabe solitons on a Walker 3-manifold

Abdou Bousso·Ameth Ndiaye

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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.

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BibTeX RIS

Abdou Bousso, Ameth Ndiaye. 2025-09-01. Ricci-Yamabe solitons on a Walker 3-manifold. https://arxiv.org/abs/2509.01764

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