Yıldırım, M.Beyendi, S.Ayar, GülhanAktan, N.2026-01-102026-01-102025https://doi.org/10.3390/axioms14070498https://hdl.handle.net/20.500.12684/22170This research paper aims to study the Q-curvature tensor on Kenmotsu manifolds endowed with the Schouten–van Kampen connection. Using the Q-curvature tensor, whose trace is the well-known Z-tensor, we characterized Kenmotsu manifolds by introducing the notion of ?-Q flat and ?-Q flat manifolds and novel tensor conditions, such as Q(?,X)Q=0, Q(?X)R=0, Q(?,X)S=0, Q(?,X)C=0 ,Q(?,X)H=0, and Q(?,X)P=0, with the Schouten–van Kampen connection. To validate some of our results, we constructed a non-trivial example of Kenmotsu manifolds endowed with the Schouten–van Kampen connection.en10.3390/axioms14070498info:eu-repo/semantics/closedAccessKenmotsu manifoldsSchouten van–Kampen connectionQ-curvature tensorArticle714498