SPECIAL SMARANDACHE CURVES IN R-1(3)


Gürses N. , Bektaş Ö., Yüce S.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.65, no.2, pp.143-160, 2016 (Journal Indexed in ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 65 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.1501/commual_0000000766
  • Title of Journal : COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
  • Page Numbers: pp.143-160

Abstract

In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame vectors of another regular curve in Minkowski 3-space R-1(3.) Then, we present some characterisations of Smarandache curves and calculate Frenet invariants of these curves. Moreover, we classify TN, TB, NB and TNB-Smarandache curves of a regular curve parametrized by arc length alpha by presenting a brief table with respect to the causal character of alpha. Also, we will give some examples related to results.