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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-Caso...

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Autores principales:	Bang-Yen Chen, Simona Decu, Gabriel-Eduard Vîlcu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	Casorati curvature statistical manifold of type para-Kähler space form totally real submanifold Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/f3bcff0bdac2438c83d19a1b699a4398
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spelling	oai:doaj.org-article:f3bcff0bdac2438c83d19a1b699a43982021-11-25T17:29:18ZInequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms10.3390/e231113991099-4300https://doaj.org/article/f3bcff0bdac2438c83d19a1b699a43982021-10-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1399https://doaj.org/toc/1099-4300The purpose of this article is to establish some inequalities concerning the normalized <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-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.Bang-Yen ChenSimona DecuGabriel-Eduard VîlcuMDPI AGarticleCasorati curvaturestatistical manifold of type para-Kähler space formtotally real submanifoldScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1399, p 1399 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Casorati curvature statistical manifold of type para-Kähler space form totally real submanifold Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	Casorati curvature statistical manifold of type para-Kähler space form totally real submanifold Science Q Astrophysics QB460-466 Physics QC1-999 Bang-Yen Chen Simona Decu Gabriel-Eduard Vîlcu Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms
description	The purpose of this article is to establish some inequalities concerning the normalized <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-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.
format	article
author	Bang-Yen Chen Simona Decu Gabriel-Eduard Vîlcu
author_facet	Bang-Yen Chen Simona Decu Gabriel-Eduard Vîlcu
author_sort	Bang-Yen Chen
title	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_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_sort	inequalities for the casorati curvature of totally real spacelike submanifolds in statistical manifolds of type para-kähler space forms
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/f3bcff0bdac2438c83d19a1b699a4398
work_keys_str_mv	AT bangyenchen inequalitiesforthecasoraticurvatureoftotallyrealspacelikesubmanifoldsinstatisticalmanifoldsoftypeparakahlerspaceforms AT simonadecu inequalitiesforthecasoraticurvatureoftotallyrealspacelikesubmanifoldsinstatisticalmanifoldsoftypeparakahlerspaceforms AT gabrieleduardvilcu inequalitiesforthecasoraticurvatureoftotallyrealspacelikesubmanifoldsinstatisticalmanifoldsoftypeparakahlerspaceforms
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Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms

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