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Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 19 Issue: 1

$\alpha$-Jacobi Type Vector Fields in Hyperbolic 3-space with Natural Statistical Structure

Oleksandr Sadokha(ULUDAĞ ÜNİVERSİTESİ)
Cengizhan Murathan(ULUDAĞ ÜNİVERSİTESİ)0000-0002-2273-3243
Sayfa
—
Yayın Tarihi
2026-04-22
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The study is a natural extension of the results obtained by Wang and Zhang, [16], under the classical Levi-Civita connection.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:The study is a natural extension of the results obtained by Wang and Zhang, [16], under the classical Levi-Civita connection.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Statistical manifolds · statistical models · Jacobi type vector fields

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.

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Bu Makaleye Atıf Yap

Sadokha, O., Murathan, C. (2026). $\alpha$-Jacobi Type Vector Fields in Hyperbolic 3-space with Natural Statistical Structure. International Electronic Journal of Geometry, Volume: 19 Issue: 1. https://doi.org/10.36890/iejg.1847502

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