Generalized Wintgen Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

The geometry of Hessian manifolds is a fruitful branch physics, statistics, Kaehlerian and affine differential geometry. study inequalities for statistical submanifolds in constant curvature was truly initiated 2018 by Mihai, A. I. who dealt with Chen-Ricci Euler inequalities. Later on, Siddiqui, A.N., Ahmad K. Ozel C. came the Casorati inequality same ambient space using algebraic technique. Also, Chen, B.-Y., obtained Chen first such submanifolds. In 2020, studied δ(2,2)-invariant. development this topic, we establish generalized Wintgen curvature. Some examples are also discussed at end.