Open AccessShape curvatures of the Lorentzian plane curves
Author(s) -
Hakan Şimşek
Publication year - 2017
Publication title -
communications faculty of science university of ankara series a1mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 1303-5991
DOI - 10.1501/commua1_0000000818
Subject(s) - plane curve , plane (geometry) , involute , geometry , arc length , arc (geometry) , mathematics , physics , mathematical analysis
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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