TY - JOUR AU - Lee, Chul Woo AU - Yoon, Dae Won AU - Lee, Jae Won PY - 2017 TI - A pinching theorem for statistical manifolds with Casorati curvatures JO - Journal of Nonlinear Sciences and Applications SP - 4908--4914 VL - 10 IS - 9 AB - With a pair of conjugate connections \(\overline{\nabla}\) and \(\overline{\nabla}^*\), we derive optimal Casorati inequalities with the normalized scalar curvature on submanifolds of a statistical manifold of constant curvature. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.09.31 DO - 10.22436/jnsa.010.09.31 ID - Lee2017 ER -