GEOMETRIC INEQUALITIES FOR STATISTICAL SUBMANIFOLDS IN COSYMPLECTIC STATISTICAL MANIFOLDS

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KAZAZ M., Aslam M., Aquib M.

Kragujevac Journal of Mathematics, cilt.48, sa.3, ss.393-405, 2024 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.46793/kgjmat2403.393k
  • Dergi Adı: Kragujevac Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.393-405
  • Anahtar Kelimeler: Chen's inequality, statistical manifolds, Cosymplectic statistical manifolds
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.