BERTRAND CURVES IN THREE DIMENSIONAL LIE GROUPS

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Okuyucu O. Z., GÖK İ., YAYLI Y., Ekmekci N.

MISKOLC MATHEMATICAL NOTES, cilt.17, sa.2, ss.999-1010, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.18514/mmn.2017.1314
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.999-1010
  • Anahtar Kelimeler: Bertrand curves, Lie groups, SLANT HELICES
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we give the definition of harmonic curvature function some special curves such as helix, slant curves, Mannheim curves and Bertrand curves. Then, we recall the characterizations of helices [7], slant curves (see [19]) and Mannheim curves (see [12]) in three dimensional Lie groups using their harmonic curvature function.