Totally real sectional curvature of a real hypersurface in a quaternionic space form (Q1818034)
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scientific article; zbMATH DE number 1383409
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Totally real sectional curvature of a real hypersurface in a quaternionic space form |
scientific article; zbMATH DE number 1383409 |
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Totally real sectional curvature of a real hypersurface in a quaternionic space form (English)
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25 September 2000
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The first result of this article is the classification of real hypersurfaces of non-flat quaternionic space forms with constant totally real sectional curvature. As a consequence, the authors obtain that on real hypersurfaces of non-flat quaternionic space forms, the constancy of the quaternionic sectional curvature is equivalent to the constancy of the totally real sectional curvature.
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real hypersurface
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quaternionic space form
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constant totally real sectional curvature
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quaternionic sectional curvature
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