Golden-like Statistical Manifold Equipped with Quarter-Symmetric Metric Connection

In this paper, we study curvature inequalities on a GLSM when the ambient space is equipped with a QSMC. Our focus is on the relationships between intrinsic and extrinsic curvatures arising in information geometry. The interplay between the golden-like structure and QSMC yields additional geometric constraints, extending known inequalities for statistical manifolds and suggesting consequences for optimization.