Space-like submanifolds in the de Sitter spaces (Q1602422)
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scientific article; zbMATH DE number 1758074
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Space-like submanifolds in the de Sitter spaces |
scientific article; zbMATH DE number 1758074 |
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Space-like submanifolds in the de Sitter spaces (English)
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23 June 2002
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The author provides several conditions (expressed in terms of the second fundamental form and mean, scalar and sectional curvatures) for a compact space-like submanifold \(M\) with flat normal bundle of the de Sitter space of positive curvature which imply either pseudo- or total umbilicity of \(M\). \{Enclosed corrections are provided by Hua-Dong Pang and Sen-Lin Xu\}.
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de Sitter space
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submanifold
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second fundamental form
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mean curvature
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scalar curvature
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umbilicity
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