2017•Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsOpen access

Shape curvatures of the Lorentzian plane curves

SIMSEK Hakan; ÖZDEMIR

Abstract

In this paper, we examine the Lorentzian similar plane curvesusing the hyperbolic structure and spherical arc length parameter. We classifyall self-similar Lorentzian plane curves and give formulas for pseudo shapecurvatures of evolute, involute and parallel curves of a nonnull plane curve

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Key concepts: Plane curve, Plane (geometry), Involute, Geometry, Arc length, Arc (geometry), Mathematics, Physics