2017
DOI: 10.1501/commua1_0000000818
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Shape curvatures of the Lorentzian plane curves

Abstract: Abstract. In this paper, we examine the Lorentzian similar plane curves using the hyperbolic structure and spherical arc length parameter. We classify all self-similar Lorentzian plane curves and give formulas for pseudo shape curvatures of evolute, involute and parallel curves of a nonnull plane curve.

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Cited by 3 publications
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