Entropy (Jun 2022)

Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant <i>ϕ</i>-Sectional Curvature with Semi-Symmetric Metric Connection

  • Simona Decu,
  • Gabriel-Eduard Vîlcu

DOI
https://doi.org/10.3390/e24060800
Journal volume & issue
Vol. 24, no. 6
p. 800

Abstract

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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 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