A NEW PERSPECTIVE ON THE INVOLUTES OF THE SPACELIKE CURVE WITH A SPACELIKE BINORMAL IN MINKOWSKI 3-SPACE

Bilici M., ÇALIŞKAN M.

JOURNAL OF SCIENCE AND ARTS, no.3, pp.573-582, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2018
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.573-582
  • Keywords: Involute curve, Minkowski space, Frenet frames, Darboux vector
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we have expressed the transformation matrix between the Frenet frames of the spacelike curve with a spacelike binormal and its timelike involute curve as depend on lorentzian spacelike angle between the unit binormal vector and the Darboux vector of the spacelike evolute curve. Furthermore, some new characterizations with relation to the involute-evolute curve couple have been found.