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In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely the normalized δ-Casorati curvatures and the scalar curvature of statistical submanifolds in Kenmotsu statistical manifolds of… Click to show full abstract
In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely the normalized δ-Casorati curvatures and the scalar curvature of statistical submanifolds in Kenmotsu statistical manifolds of constant ϕ-sectional curvature that are endowed with semi-symmetric metric connection. Furthermore, we investigate the equality cases of these inequalities. We also describe an illustrative example.
Keywords:
kenmotsu statistical;
statistical submanifolds;
submanifolds kenmotsu;
statistical manifolds;
curvature;
manifolds constant
Journal Title: Entropy
Year Published: 2022
Link to full text (if available)
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Journal Title: Entropy
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!