This study focuses on submanifolds embedded in a conformal Sasakian space form (CSSF) equipped with a quarter-symmetric metric connection (QSMC). Utilizing the framework of generalized normalized δ-Casorati curvature (GNDCC) alongside scalar curvature, we derive sharp optimal inequalities that characterize the intrinsic and extrinsic geometry of the submanifolds. Additionally, we examine the geometric behavior of these submanifolds under conformal deformations of the ambient manifold. To substantiate the theoretical developments, we construct an explicit example of a conformal Sasakian manifold that is not Sasakian, thereby confirming the validity and applicability of the derived results.
Aquib et al. (Thu,) studied this question.