ON TZITZEICA CURVES IN EUCLIDEAN 3-SPACE E-3

Bayram B., Tunc E., Arslan K., Ozturk G.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.33, sa.3, ss.409-416, 2018 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.22190/fumi1803409b
  • Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.409-416
  • Anahtar Kelimeler: Tz-curves, W-curves, TC-curves, SPACE
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this study, we consider Tzitzeica curves (Tz-curves) in a Euclidean 3-space E-3. We characterize such curves according to their curvatures. We show that there is no Tz-curve with constant curvatures (W-curves). We consider Salkowski (TC-curve) and anti-Salkowski curves.