Curves in the lightlike cone (Q1875924)
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scientific article; zbMATH DE number 2096249
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Curves in the lightlike cone |
scientific article; zbMATH DE number 2096249 |
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Curves in the lightlike cone (English)
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1 September 2004
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The author studies curves in the light-like cone in the Minkowski space of arbitrary dimension. Having fixed the coordinate system, the author obtains several conformal invariants of such curves. In a specialization to the 2-dimensional and 3-dimensional case some results are also obtained, e.g., the author characterizes the Bertrand curves in \(Q^{2}\) and finds a ``normal form'' of some of suche curves in \(Q^{3}\).
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hyperbolic metrics
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light-like cone
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conformal invariant
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Frenet formula
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curvature function
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