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The translation surfaces on statistical manifolds with normal distribution

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Sevim, Serap
Murathan, Cengizhan

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Int Electronic Journal Geometry

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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.

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Submanifolds, Hypersurfaces, Curvature, Space, Inequalities, Statistical manifolds, Statsitical submanifolds, Normal distribution, Translation surfaces, Hyperbolic models, Science & technology, Physical sciences, Mathematics

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