Some results in geometry of hypersurfaces (Q1072122)
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scientific article; zbMATH DE number 3942416
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results in geometry of hypersurfaces |
scientific article; zbMATH DE number 3942416 |
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Some results in geometry of hypersurfaces (English)
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1986
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In this paper there are two types of results. The following are characteristic: Theorem 1. A complete, non-compact hypersurface of \(E^{n+1}\) with sectional curvature \(\geq 0\) is unbounded. Theorem 2. A complete hypersurface in \(S^{n+1}\), \(n\geq 4\), with sectional curvature \(\leq 1\) is totally geodesic.
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unbounded submanifold
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Beltrami map
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relative nullity
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sectional curvature
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