Abstract
Chen’s first inequality for statistical submanifolds in Hessian manifolds of constant Hessian curvature was obtained by B.-Y. Chen et al. Other particular cases of Chen inequalities in a statistical setting were given by different authors. The objective of the present article is to establish the general Chen inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference18 articles.
1. The Geometry of Hessian Structures;Shima,2007
2. Differential-Geometrical Methods in Statistics;Amari,1985
3. Affine Differential Geometry;Nomizu,1994
4. A sectional curvature for statistical structures
5. Fundamental equations for statistical submanifolds with applications to the Bartlett correction
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