Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space (Q1865870)
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scientific article; zbMATH DE number 1890531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space |
scientific article; zbMATH DE number 1890531 |
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Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space (English)
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4 March 2004
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The author calls a submanifold \(T\)-constant (respectively \(N\)-constant) if the tangential component (respectively, the normal component) of its position function has constant length. Space-like submanifolds of a pseudo-Euclidean space which are \(T\)-constant or \(N\)-constant are classified. Several examples are given.
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position function
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light cone
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conic submanifold
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pseudo-Riemannian sphere
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pseudo-hyperbolic space
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0.9062822
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0.9057118
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0.9051632
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0.9038738
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0.9024043
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