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General Chen Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

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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.
Title: General Chen Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
Description:
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.

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