A note on pseudo-umbilical submanifolds of Hessian manifolds with constant Hessian sectional curvature (Q555225)
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scientific article; zbMATH DE number 5931058
| Language | Label | Description | Also known as |
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| English | A note on pseudo-umbilical submanifolds of Hessian manifolds with constant Hessian sectional curvature |
scientific article; zbMATH DE number 5931058 |
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A note on pseudo-umbilical submanifolds of Hessian manifolds with constant Hessian sectional curvature (English)
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22 July 2011
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Summary: The geometry of Hessian manifolds as a branch of statistics, physics, Kählerian, and affine differential geometry, is deeply fruitful and a new field for scientists. However, in spite of its importance, submanifolds and curvature conditions of it are not so well known yet. In this paper, we focus on pseudo-umbilical submanifolds of Hessian manifolds with constant Hessian sectional curvature, and, using sectional curvature conditions, we obtain new results.
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Hessian manifold
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curvature conditions
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Hessian sectional curvature
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