On the motion of the Frenet vectors and spacelike ruled surfaces in the Minkowski 3-space (Q1591091)
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scientific article; zbMATH DE number 1545876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the motion of the Frenet vectors and spacelike ruled surfaces in the Minkowski 3-space |
scientific article; zbMATH DE number 1545876 |
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On the motion of the Frenet vectors and spacelike ruled surfaces in the Minkowski 3-space (English)
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7 February 2002
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Summary: We obtain the distribution parameter of a spacelike ruled surface generated by a spacelike straight line moving along a spacelike curve. We show that the spacelike ruled surface is developable if and only if the base curve is a helix (inclined curve). Furthermore, some theorems are given for the special cases where the line is the tangent, the principal normal, or the binormal of the base curve.
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developable surface
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inclined curve
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spacelike ruled surface
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helix
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0.89015704
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0.8894344
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0.8891319
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