HARMONIC CURVATURE FUNCTIONS OF SOME SPECIAL CURVES IN GALILEAN 3-SPACE

YILMAZ B., Metin S., GÖK İ., YAYLI Y.

HONAM MATHEMATICAL JOURNAL, cilt.41, sa.2, ss.301-319, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.5831/hmj.2019.41.2.301
  • Dergi Adı: HONAM MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.301-319
  • Anahtar Kelimeler: Rectifying curve, Salkowski curve, Anti Salkowski curve, Harmonic Curvature, SPACE
  • Ankara Üniversitesi Adresli: Evet

Özet

The aim of the paper is to characterize some curves with the help of their harmonic curvature functions. First of all, we have defined harmonic curvature function of an arbitrary curve and have re-determined the position vectors of helices in terms of their harmonic curvature functions in Galilean 3-space. Then, we have investigated the relation between rectifying curves and Salkowski (or anti-Salkowski) curves in Galilean 3-space. Furthermore, the position vectors of them are obtained via the serial approach of the curves. Finally, we have given some illustrated examples of helices and rectifying curves with some assumptions.