Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection
In this paper, we establish some inequalities between 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 and...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/19/3509 |
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| author | Simona Decu |
| author_facet | Simona Decu |
| author_sort | Simona Decu |
| collection | DOAJ |
| description | In this paper, we establish some inequalities between 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 and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds, endowed with a semi-symmetric metric connection. Moreover, we study the submanifolds satisfying the equality cases of these inequalities. We also present an appropriate example. |
| first_indexed | 2024-03-09T21:28:12Z |
| format | Article |
| id | doaj.art-12ff4e0c340c49fea696a5ffe8224765 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:28:12Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-12ff4e0c340c49fea696a5ffe82247652023-11-23T21:02:42ZengMDPI AGMathematics2227-73902022-09-011019350910.3390/math10193509Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric ConnectionSimona Decu0Department of Applied Mathematics, Bucharest University of Economic Studies, 6 Piaţa Romană, 010374 Bucharest, RomaniaIn this paper, we establish some inequalities between 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 and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds, endowed with a semi-symmetric metric connection. Moreover, we study the submanifolds satisfying the equality cases of these inequalities. We also present an appropriate example.https://www.mdpi.com/2227-7390/10/19/3509statistical manifoldsemi-symmetric metric connectionCasorati curvatureSasaki-like statistical manifold |
| spellingShingle | Simona Decu Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection Mathematics statistical manifold semi-symmetric metric connection Casorati curvature Sasaki-like statistical manifold |
| title | Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection |
| title_full | Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection |
| title_fullStr | Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection |
| title_full_unstemmed | Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection |
| title_short | Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection |
| title_sort | casorati inequalities for spacelike submanifolds in sasaki like statistical manifolds with semi symmetric metric connection |
| topic | statistical manifold semi-symmetric metric connection Casorati curvature Sasaki-like statistical manifold |
| url | https://www.mdpi.com/2227-7390/10/19/3509 |
| work_keys_str_mv | AT simonadecu casoratiinequalitiesforspacelikesubmanifoldsinsasakilikestatisticalmanifoldswithsemisymmetricmetricconnection |