Timelike and null normal curves in Minkowski space \(\mathbb{E}_1^3\) (Q1886956)
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scientific article; zbMATH DE number 2118182
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Timelike and null normal curves in Minkowski space \(\mathbb{E}_1^3\) |
scientific article; zbMATH DE number 2118182 |
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Timelike and null normal curves in Minkowski space \(\mathbb{E}_1^3\) (English)
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23 November 2004
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The authors generalize a construction known from curves in Euclidean 3-space to \(2+1\)-dimensional Minkowski space-time. First, they give the analogous meanings to the old notions curvature and torsion; and osculating plane, rectifying plane, and normal plane. Then they consider the special case, that for a curve in the \(2+1\)-dimensional Minkowski spacetime, the position vector always lies in the normal plane. Several characterizations of this situation are given.
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curve
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Minkowski spacetime
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curvature
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torsion
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osculating plane
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rectifying plane
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