Generalized Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature (Q523630)

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scientific article; zbMATH DE number 6707079
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Generalized Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature
scientific article; zbMATH DE number 6707079

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    Generalized Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature (English)
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    21 April 2017
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    The authors establish the so-called generalized Wintgen inequality for statistical submanifolds in statistical manifolds of constant sectional curvature. They used the notion of the sectional curvature of statistical manifolds defined by \textit{B. Opozda} [Ann. Global Anal. Geom. 48, No. 4, 357--395 (2015; Zbl 1333.53025); Linear Algebra Appl. 497, 134--161 (2016; Zbl 1338.53034)].
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    Wintgen inequality
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    statistical manifold
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    statistical submanifold
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    dual connection
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