α-Jacobi Type Vector Fields in Hyperbolic 3-space with Natural Statistical Structure
International Electronic Journal of Geometry, vol.19, no.1, pp.201-215, 2026 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 19 Issue: 1
- Publication Date: 2026
- Doi Number: 10.36890/iejg.1847502
- Journal Name: International Electronic Journal of Geometry
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.201-215
- Keywords: hyperbolic models, Jacobi type vector fields, normal distribution, Statistical manifolds, statistical models
- Open Archive Collection: AVESIS Open Access Collection
- Bursa Uludag University Affiliated: Yes
Abstract
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.