Spherical indicatrices of involute of a space curve in euclidean 3-space


TUNÇER Y., ÜNAL S., KARACAN M. K.

Tamkang Journal of Mathematics, vol.51, no.2, pp.113-121, 2020 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 51 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.5556/j.tkjm.51.2020.2946
  • Journal Name: Tamkang Journal of Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.113-121
  • Keywords: Involute curve, evolute curve, helix, slant helix, spherica
  • Usak University Affiliated: Yes

Abstract

In this work, we studied the properties of the spherical indicatrices of involute curve of a space curve and presented some characteristic properties in the cases that involute curve and evolute curve are slant helices and helices, spherical indicatrices are slant helices and helices andwe introduced newrepresentations of spherical indicatrices.