Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection

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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Bibliographic Details
Main Author: Simona Decu
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Mathematics
Subjects:
statistical manifold
semi-symmetric metric connection
Casorati curvature
Sasaki-like statistical manifold
Online Access:https://www.mdpi.com/2227-7390/10/19/3509
Description
Summary: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.
ISSN:2227-7390

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