SHAPE CURVATURES OF THE LORENTZIAN PLANE CURVES

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Simsek H., ÖZDEMİR M.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.66, no.2, pp.276-288, 2017 (ESCI)

• Publication Type: Article / Article
• Volume: 66 Issue: 2
• Publication Date: 2017
• Doi Number: 10.1501/commua1_0000000818
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.276-288
• Keywords: Self-similar curve, Lorentzian Plane Curves, evolute, p-similarity, p-shape curvature, EQUATIONS, MOTIONS
• Akdeniz University Affiliated: Yes

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.