A pinching theorem for statistical manifolds with Casorati curvatures
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Authors
Chul Woo Lee
- Department of Mathematics, Kyungpook National University, Daegu 41566, South Korea.
Dae Won Yoon
- Department of Mathematics Education, Gyeongsang National University and RINS, Jinju 52828, South Korea.
Jae Won Lee
- Department of Mathematics Education, Gyeongsang National University and RINS, Jinju 52828, South Korea.
Abstract
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.
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ISRP Style
Chul Woo Lee, Dae Won Yoon, Jae Won Lee, A pinching theorem for statistical manifolds with Casorati curvatures, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4908--4914
AMA Style
Lee Chul Woo, Yoon Dae Won, Lee Jae Won, A pinching theorem for statistical manifolds with Casorati curvatures. J. Nonlinear Sci. Appl. (2017); 10(9):4908--4914
Chicago/Turabian Style
Lee, Chul Woo, Yoon, Dae Won, Lee, Jae Won. "A pinching theorem for statistical manifolds with Casorati curvatures." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4908--4914
Keywords
- Statistical manifolds
- dual connection
- Casorati curvature
- \(\delta\)-Casorati curvature
- normalized scalar curvature
MSC
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