GEOMETRIC INEQUALITIES FOR STATISTICAL SUBMANIFOLDS IN COSYMPLECTIC STATISTICAL MANIFOLDS

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KAZAZ M., Aslam M., Aquib M.

Kragujevac Journal of Mathematics, vol.48, no.3, pp.393-405, 2024 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.46793/kgjmat2403.393k
  • Journal Name: Kragujevac Journal of Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.393-405
  • Keywords: Chen's inequality, statistical manifolds, Cosymplectic statistical manifolds
  • Open Archive Collection: AVESIS Open Access Collection
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we obtain two important geometric inequalities namely, Euler’s inequality and Chen’s inequality for statistical submanifolds in cosymplectic statistical manifolds with constant curvature, and discuss the equality case of the inequalities. We also give some applications of the inequalities obtained.