On evolutoids and pedaloids in Minkowski 3-space

AYDIN ŞEKERCİ G.

JOURNAL OF GEOMETRY AND PHYSICS, vol.168, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 168
  • Publication Date: 2021
  • Doi Number: 10.1016/j.geomphys.2021.104313
  • Journal Name: JOURNAL OF GEOMETRY AND PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Keywords: Minkowski 3-space, Evolutoids, Pedaloids, Spacelike curve, CURVES
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this paper, we define the evolutoids and the pedaloids of a spacelike curve on a spacelike surface in Minkowski 3-space. Firstly, considering the situation in the circle and using a moving frame along the curve, we obtain that the evolutoids of the spacelike curves on the spacelike surface is expressed with ruled surfaces. Moreover, we investigate relationships between the pedal surfaces of the evolutoids and the pedaloids of the curve as an expanding of the relationship between the evolutoids and the pedaloids in Minkowski plane. Also, we present an example that confirms our results. (C) 2021 Elsevier B.V. All rights reserved.