Some characterizations of Lorentzian spherical space-like curves (Q2724027)

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scientific article; zbMATH DE number 1615348
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Some characterizations of Lorentzian spherical space-like curves
scientific article; zbMATH DE number 1615348

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    8 July 2001
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    Minkowski space
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    Lorentzian spherical curve
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    spacelike curve
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    timelike curve
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    Some characterizations of Lorentzian spherical space-like curves (English)
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    The authors consider curves in Minkowski \(3\)-space \(\mathbb{R}^3_1\), in particular the case when the considered curve lies on a Lorentzian sphere in such a space.NEWLINENEWLINENEWLINEIn five theorems, in terms of curvature and torsion of a curve, necessary and sufficient conditions are given under which the considered curve lies on a Lorentzian sphere in \(\mathbb{R}^3_1\).
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