This research determines Jacobi-type vector fields in hyperbolic three-space, indicating their compatibility with statistical structures.
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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Sadokha et al. (2026) studied this question.
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