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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Detalles Bibliográficos
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
Descripción
Sumario: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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