Results 161 to 170 of about 2,645,036 (193)
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On Statistical Submanifolds in Statistical Manifolds of Quasi-Constant Curvature
International Electronic Journal of Geometry, 2023We mention some properties of statistical submanifolds in statistical manifolds of quasi-constant curvature. We obtain Chen first inequality and a Chen inequality for the $\delta (2,2)$-invariant for these manifolds.
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On \alpha -conformal equivalence of statistical submanifolds
Journal of Geometry, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature
Annali di Matematica Pura ed Applicata (1923 -), 2022A statistical manifold $(\tilde M^m, g, \tilde\nabla)$ is a Riemannian manifold $(\tilde M^m,g)$ endowed with a pair of dual torsion-free affine connections $\tilde\nabla$ and $\tilde\nabla^*$. The main result of the paper is the following: Theorem. Let $M^n$ be a statistical submanifold in a statistical manifold $(\tilde M^{m+n}, g, \tilde\nabla)$ of ...
Jiacheng Wan, Zhenxiao Xie
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Toward differential geometry of statistical submanifolds
Information Geometry, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Invariant Submanifolds of Kenmotsu-like Statistical Manifolds
Lobachevskii Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kazemi Balgeshir, M. B. +2 more
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Submanifold Theory in Holomorphic Statistical Manifolds
2016A statistical manifold is a smooth manifold equipped with a pair of a Riemannian metric and a torsion-free affine connection satisfying the Codazzi equation. We naturally have various dualistic geometric objects on it. In this article, the basics for statistical submanifolds in holomorphic statistical manifolds are given.
Hitoshi Furuhata, Izumi Hasegawa
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Casorati Curvatures of Submanifolds in Cosymplectic Statistical Space Forms
Bulletin of the Iranian Mathematical Society, 2019The study of statistical manifolds was initiated by \textit{S.-i. Amari} [Differential-geometrical methods in statistics. Springer, Cham (1985; Zbl 0559.62001)]. \textit{M. E. Aydin} et al. [Filomat 29, No. 3, 465--477 (2015; Zbl 1474.53071)] studied curvature properties of submanifolds in statistical manifolds of constant curvature, and established ...
Malek, Fereshteh, Akbari, Haniyeh
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B. Y. Chen Inequalities for Statistical Submanifolds in Sasakian Statistical Manifolds
2019In this paper, we derive a statistical version of B. Y. Chen inequality for statistical submanifolds in the Sasakian statistical manifolds with constant curvature and discuss the equality case of the inequality. We also give some applications of the inequalities obtained.
Mohd. Aquib +3 more
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Geodesic submanifolds of a family of statistical models
Statistics & Probability Letters, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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