Inequalities on Sasakian statistical manifolds in terms of Casorati curvatures
Summary: A statistical structure is considered as a generalization of a pair of a Riemannian metric and its Levi-Civita connection. With a pair of conjugate connections \(\nabla\) and \(\nabla^\ast\) in the Sasakian statistical structure, we provide the normalized scalar curvature which is bounded above from Casorati curvatures on \(C\)-totally real (Legendrian and slant) submanifolds of a Sasakian statistical manifold of constant \(\varphi\)-sectional curvature. In addition, we give examples to show that the total space is a sphere.
scientific article; zbMATH DE number 6994862
scientific article