Ka?hler-Norden Structures on Statistical Manifolds

Peyghan E., GEZER A., Nourmohammadifar L.

FILOMAT, cilt.36, sa.17, ss.5691-5706, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 17
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2217691p
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.5691-5706
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we construct Kahler-Norden statistical structures on pseudo-Riemannian mani-folds equipped with a torsion-free linear connection and an almost complex structure. Also, we present some examples and study curvature properties for these structures by using Tachibana operator. Finally, we consider a Norden statistical manifold and study Codazzi coupling of its connection with the almost complex structure on it.