Statistical Submersions with Parallel Almost Complex Structures


Takano K., KAZAN S.

Mediterranean Journal of Mathematics, cilt.21, sa.3, 2024 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s00009-024-02621-4
  • Dergi Adı: Mediterranean Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: 53B05, 53B12, 53C15, Almost complex manifold, generalized Kähler-like statistical submersion, statistical manifold, statistical submersion
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • İnönü Üniversitesi Adresli: Evet

Özet

The aim of the present paper is to study statistical submersions with parallel almost complex structures. First, we define the notion of the generalized Kähler-like statistical submersion and give examples of the Kähler-like statistical submersions. In addition, we investigate total space and fibers under certain conditions. After, we introduce some results on J-invariant, J∗-invariant and anti-invariant generalized Kähler-like statistical submersions.