Cauchy formulas for enveloping curves in the Lorentzian plane and Lorentzian kinematics (Q732763)
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scientific article; zbMATH DE number 5615319
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cauchy formulas for enveloping curves in the Lorentzian plane and Lorentzian kinematics |
scientific article; zbMATH DE number 5615319 |
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Cauchy formulas for enveloping curves in the Lorentzian plane and Lorentzian kinematics (English)
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15 October 2009
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In the paper under review, enveloping curves of non-null lines and the global properties of some special one-parameter Lorentzian motion are discussed. In the Lorentzian plane, Cauchy-length formulas for the envelope of a family non-null lines is given. As applications, Holditch-type theorems are also obtained.
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Holditch theorem
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Cauchy formula
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Lorentzian motion
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Steiner formula
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enveloping curve
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