Differential geometry of homogeneous lines of \(n\)-dimensional Minkowski space (Q2761535)
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scientific article; zbMATH DE number 1685520
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential geometry of homogeneous lines of \(n\)-dimensional Minkowski space |
scientific article; zbMATH DE number 1685520 |
Statements
6 January 2002
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differential geometry
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homogeneous lines
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\(n\)-dimensional Minkowski space
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time-shaped lines
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space-shaped lines
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isotropic lines
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Differential geometry of homogeneous lines of \(n\)-dimensional Minkowski space (English)
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The tensor conditions of homogeneous time-shaped, space-shaped and isotropic lines of real point \(n\)-dimensional Minkowski space are obtained. The homogeneous lines of general type are characterized by their curvatures. Frenet formulas for the homogeneous time-shaped, space-shaped and isotropic lines are deduced and on this base some classes of homogeneous lines are characterized. For example, the following result is proved. The homogeneous isotropic line with zero first and second curvature is an isotropic straight line.
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0.7441210746765137
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0.7414228320121765
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0.736799955368042
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