The Translation Surfaces on Statistical Manifolds with Normal Distribution

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Sevim S., MURATHAN C.

International Electronic Journal of Geometry, cilt.17, sa.1, ss.44-62, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.36890/iejg.1378844
  • Dergi Adı: International Electronic Journal of Geometry
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.44-62
  • Anahtar Kelimeler: hyperbolic models, normal distribution, Statistical manifolds, statsitical submanifolds, translation surfaces
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we will investigate translation surfaces on statistical manifolds. Statistical manifolds are mathematical structures that describe the geometric properties of statistical models. We will focus on minimal statistical translation surfaces and then classify statistical translation surfaces of null sectional curvature in three-dimensional hyperbolic statistical manifolds.