The Translation Surfaces on Statistical Manifolds with Normal Distribution

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Sevim S., MURATHAN C.

International Electronic Journal of Geometry, vol.17, no.1, pp.44-62, 2024 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.36890/iejg.1378844
  • Journal Name: International Electronic Journal of Geometry
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.44-62
  • Keywords: hyperbolic models, normal distribution, Statistical manifolds, statsitical submanifolds, translation surfaces
  • Bursa Uludag University Affiliated: Yes

Abstract

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.