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

by 1,†, 2,3,*,† and 4,5,†
1
Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA
2
Department of Applied Mathematics, Bucharest University of Economic Studies, 6 Piaţa Romană, 010374 Bucharest, Romania
3
Romanian Academy, Costin C. Kiriţescu National Institute of Economic Research, Centre of Mountain Economy (CE-MONT), 13 Calea 13 Septembrie, 030508 Bucharest, Romania
4
Faculty of Mathematics and Computer Science, Research Center in Geometry, Topology and Algebra, University of Bucharest, Str. Academiei 14, Sector 1, 70109 Bucharest, Romania
5
Department of Cybernetics, Economic Informatics, Finance and Accountancy, Petroleum-Gas University of Ploieşti, Bd. Bucureşti 39, 100680 Ploieşti, Romania
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Lawrence Horwitz
Received: 28 September 2021 / Revised: 21 October 2021 / Accepted: 21 October 2021 / Published: 25 October 2021
The purpose of this article is to establish some inequalities concerning the normalized δ-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. View Full-Text
Keywords: Casorati curvature; statistical manifold of type para-Kähler space form; totally real submanifold Casorati curvature; statistical manifold of type para-Kähler space form; totally real submanifold
MDPI and ACS Style

Chen, B.-Y.; Decu, S.; Vîlcu, G.-E. Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms. Entropy 2021, 23, 1399. https://0-doi-org.brum.beds.ac.uk/10.3390/e23111399

AMA Style

Chen B-Y, Decu S, Vîlcu G-E. Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms. Entropy. 2021; 23(11):1399. https://0-doi-org.brum.beds.ac.uk/10.3390/e23111399

Chicago/Turabian Style

Chen, Bang-Yen, Simona Decu, and Gabriel-Eduard Vîlcu. 2021. "Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms" Entropy 23, no. 11: 1399. https://0-doi-org.brum.beds.ac.uk/10.3390/e23111399

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