Karatas, EsraZeren, SemraAltin, Mustafa2026-04-042026-04-0420251844-95812068-3049https://doi.org/10.46939/J.Sci.Arts-25.4-a12https://hdl.handle.net/11616/108369In this study, we investigate the geometric properties of Riemannian submersions endowed with quarter-symmetric non-metric connections. We focus specifically on the M-projective curvature tensor and the conformal curvature tensor, providing an analysis of the behaviour of these tensors. We emphasize how these curvature tensors interact with totally umbilical fibers in the setting of Riemannian submersions. We explicitly compute the relevant curvature tensors and examine how the totally umbilical condition influences their relations. This clarifies the connections among the tensors and shows how they affect the geometric structure of the submersions.eninfo:eu-repo/semantics/openAccessM-projective curvature tensorconformal curvature tensorRiemannian submersionQuarter-symmetric non-metric connectiontotally umbilical fibersArticle480983610.46939/J.Sci.Arts-25.4-a12WOS:001673754100012Q40000-0003-0083-3507