Some characterizations of inclined curves and slant helices in the Lorentzian space \(L^n\) (Q2906878)
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scientific article; zbMATH DE number 6077864
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some characterizations of inclined curves and slant helices in the Lorentzian space \(L^n\) |
scientific article; zbMATH DE number 6077864 |
Statements
5 September 2012
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Lorentzian \(n\)-space
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nonnull inclined curves
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nonnull slant helices
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Some characterizations of inclined curves and slant helices in the Lorentzian space \(L^n\) (English)
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A curve in Lorentzian \(n\)-space \(L^n\) is called a slant helix (resp. inclined curve) if its normal line (resp. principal tangent line) makes a constant angle with a fixed direction. For such curves the authors give a new type of harmonic functions which are called type-2 harmonic curvatures. Next they obtain some differential and integral characterizations of unit speed nonnull inclined curves and slant helices in the Lorentzian space \(L^n\).
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