In this chapter, we prove general Chen inequalities in statistical submanifolds of Kenmotsu statistical manifolds of constant \(\phi \) -sectional curvature. Furthermore, we investigate the equality case of these inequalities. Finally, we point out a representative example.

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General Chen Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant \(\phi \) -Sectional Curvature

  • Simona Decu,
  • Gabriel-Eduard Vîlcu

摘要

In this chapter, we prove general Chen inequalities in statistical submanifolds of Kenmotsu statistical manifolds of constant \(\phi \) -sectional curvature. Furthermore, we investigate the equality case of these inequalities. Finally, we point out a representative example.