DOI: 10.36890/iejg.1734261 ISSN: 1307-5624

Generalized $\mathcal{Z}$-Solitons with Some Connections

Shahroud Azami, Mehdi Jafari
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This paper presents a broader formulation of Ricci solitons through the introduction of a generalized class of $\mathcal{Z}$-solitons on Riemannian manifolds that admit either semi-symmetric metric or semi-symmetric non-metric affine connections. The study primarily concentrates on the differential geometric properties of these solitons, with particular attention given to scenarios where the associated vector field exhibits torse-forming behavior in accordance with the geometry induced by the semi-symmetric connection.

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