Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms

The purpose of this article is to establish some inequalities concerning the normalized [Formula: see text]-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of totally real spacelike submanifolds in statistical manifolds of the type para-Kähler space form. Mo...

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Autores principales: Chen, Bang-Yen, Decu, Simona, Vîlcu, Gabriel-Eduard
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8619810/
https://www.ncbi.nlm.nih.gov/pubmed/34828097
http://dx.doi.org/10.3390/e23111399
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author Chen, Bang-Yen
Decu, Simona
Vîlcu, Gabriel-Eduard
author_facet Chen, Bang-Yen
Decu, Simona
Vîlcu, Gabriel-Eduard
author_sort Chen, Bang-Yen
collection PubMed
description The purpose of this article is to establish some inequalities concerning the normalized [Formula: see text]-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of totally real spacelike submanifolds in statistical manifolds of the type para-Kähler space form. Moreover, this study is focused on the equality cases in these inequalities. Some examples are also provided.
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spelling pubmed-86198102021-11-27 Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms Chen, Bang-Yen Decu, Simona Vîlcu, Gabriel-Eduard Entropy (Basel) Article The purpose of this article is to establish some inequalities concerning the normalized [Formula: see text]-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of totally real spacelike submanifolds in statistical manifolds of the type para-Kähler space form. Moreover, this study is focused on the equality cases in these inequalities. Some examples are also provided. MDPI 2021-10-25 /pmc/articles/PMC8619810/ /pubmed/34828097 http://dx.doi.org/10.3390/e23111399 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/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 (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Chen, Bang-Yen
Decu, Simona
Vîlcu, Gabriel-Eduard
Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms
title Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms
title_full Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms
title_fullStr Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms
title_full_unstemmed Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms
title_short Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms
title_sort inequalities for the casorati curvature of totally real spacelike submanifolds in statistical manifolds of type para-kähler space forms
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8619810/
https://www.ncbi.nlm.nih.gov/pubmed/34828097
http://dx.doi.org/10.3390/e23111399
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