Curvature invariants for statistical submanifolds of Hessian manifolds of constant Hessian curvature (Q1649116)
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scientific article; zbMATH DE number 6898736
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Curvature invariants for statistical submanifolds of Hessian manifolds of constant Hessian curvature |
scientific article; zbMATH DE number 6898736 |
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Curvature invariants for statistical submanifolds of Hessian manifolds of constant Hessian curvature (English)
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5 July 2018
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Summary: We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such submanifolds we establish a Euler inequality and a Chen-Ricci inequality with respect to a sectional curvature of the ambient Hessian manifold.
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statistical manifolds
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Hessian manifolds
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Hessian sectional curvature
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scalar curvature
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Ricci curvature
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