Curvature and Solitonic Structures of Para‐Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η ‐Ricci solitons in the lifted setting. It is proved that the lifted manifold retains key geometric properties under the SVKC. These results are illustrated through an explicit 5‐dimensional example using partial differential equations that satisfy the soliton equations, offering new insights into geometric flows on lifted paracontact manifolds and laying a foundation for future extensions involving conformal solitons, higher‐order bundles, and Lorentzian geometries.