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

Ion Mihai () and Radu-Ioan Mihai
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Ion Mihai: Faculty of Mathematics and Computer Science, University of Bucharest, 010014 Bucharest, Romania
Radu-Ioan Mihai: Faculty of Mathematics and Computer Science, University of Bucharest, 010014 Bucharest, Romania

Mathematics, 2022, vol. 10, issue 17, 1-9

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.

Keywords: Hessian manifolds; constant Hessian curvature; statistical submanifolds; Chen inequalities (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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