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Article

The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

by 1 and 2,*
1
Department of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania
2
Department of Mathematics, Faculty of Mathematics and Computer Science, University of Bucharest, 010014 Bucharest, Romania
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(2), 164; https://doi.org/10.3390/e22020164
Received: 26 December 2019 / Revised: 20 January 2020 / Accepted: 28 January 2020 / Published: 31 January 2020
(This article belongs to the Section Multidisciplinary Applications)
We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Chen, we proved a Chen first inequality for such submanifolds. The present authors previously initiated the investigation of statistical submanifolds in Hessian manifolds of constant Hessian curvature; this paper represents a development in this topic. View Full-Text
Keywords: statistical manifolds; Hessian manifolds; Hessian sectional curvature; scalar curvature; Ricci curvature; Chen inequality statistical manifolds; Hessian manifolds; Hessian sectional curvature; scalar curvature; Ricci curvature; Chen inequality
MDPI and ACS Style

Mihai, A.; Mihai, I. The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature. Entropy 2020, 22, 164. https://doi.org/10.3390/e22020164

AMA Style

Mihai A, Mihai I. The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature. Entropy. 2020; 22(2):164. https://doi.org/10.3390/e22020164

Chicago/Turabian Style

Mihai, Adela, and Ion Mihai. 2020. "The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature" Entropy 22, no. 2: 164. https://doi.org/10.3390/e22020164

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