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

We establish Chen inequality for the invariant [Formula: see text] 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...

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Autores principales: Mihai, Adela, Mihai, Ion
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7516581/
https://www.ncbi.nlm.nih.gov/pubmed/33285939
http://dx.doi.org/10.3390/e22020164
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author Mihai, Adela
Mihai, Ion
author_facet Mihai, Adela
Mihai, Ion
author_sort Mihai, Adela
collection PubMed
description We establish Chen inequality for the invariant [Formula: see text] 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.
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spelling pubmed-75165812020-11-09 The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature Mihai, Adela Mihai, Ion Entropy (Basel) Article We establish Chen inequality for the invariant [Formula: see text] 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. MDPI 2020-01-31 /pmc/articles/PMC7516581/ /pubmed/33285939 http://dx.doi.org/10.3390/e22020164 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Mihai, Adela
Mihai, Ion
The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
title The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
title_full The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
title_fullStr The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
title_full_unstemmed The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
title_short The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
title_sort δ(2,2)-invariant on statistical submanifolds in hessian manifolds of constant hessian curvature
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7516581/
https://www.ncbi.nlm.nih.gov/pubmed/33285939
http://dx.doi.org/10.3390/e22020164
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