Intrinsic and Extrinsic Geometry of Kählerian Slant Submanifolds in Complex Space Forms

The study of complex space forms plays a central role in differential geometry, as these manifolds provide a natural framework for exploring geometric structures endowed with rich symmetries, extending both Riemannian and Kählerian geometries. In this paper, we extend the definition of Kählerian slant submanifolds when the ambient complex space form admits a quarter-symmetric connection. Furthermore, we establish sharp relationships between intrinsic and extrinsic geometric invariants of Kählerian slant submanifolds in complex space forms admitting a quarter-symmetric connection.