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, cilt.65, ss.143-160, 2016 (ESCI İndekslerine Giren Dergi)

  • Cilt numarası: 65 Konu: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1501/commual_0000000766
  • Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
  • Sayfa Sayısı: ss.143-160

Özet

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.