Title of article :
A pinching theorem for statistical manifolds with Casorati curvatures
Author/Authors :
Lee ، Chul Woo - Kyungpook National University , Yoon ، Dae Won - Gyeongsang National University , Lee ، Jae Won - Gyeongsang National University
Abstract :
With a pair of conjugate connections ∇ and ∇* , we derive optimal Casorati inequalities with the normalized scalar curvature on submanifolds of a statistical manifold of constant curvature.
Keywords :
Statistical manifolds , dual connection , Casorati curvature , δ , Casorati curvature , normalized scalar curvature
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
