α-Jacobi Type Vector Fields in Hyperbolic 3-space with Natural Statistical Structure

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Sadokha O., MURATHAN C.

International Electronic Journal of Geometry, cilt.19, sa.1, ss.201-215, 2026 (ESCI, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.36890/iejg.1847502
  • Dergi Adı: International Electronic Journal of Geometry
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.201-215
  • Anahtar Kelimeler: hyperbolic models, Jacobi type vector fields, normal distribution, Statistical manifolds, statistical models
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we fully determine all Jacobi-type vector fields in hyperbolic three-space by taking advantage of both its constant negative curvature and its intrinsic compatibility with statistical manifold structures. The study is a natural extension of the results obtained by Wang and Zhang, [16], under the classical Levi-Civita connection.