ASSOCIATED CURVES OF FRENET CURVES IN THREE DIMENSIONAL COMPACT LIE GROUP


KIZILTUĞ S. , Önder M.

MISKOLC MATHEMATICAL NOTES, cilt.16, no.2, ss.953-964, 2015 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 16 Konu: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.18514/mmn.2015.1324
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Sayfa Sayısı: ss.953-964

Özet

General definition of associated curves of a Frenet curve is given in a three dimensional compact Lie group G. The principal normal direction curve and principal normal donor curve are introduced and some characterizations for these curves are obtained in G. Later, the relationships between a principal normal direction curve and some special curves such as helix, slant helix or curve with a special torsion are obtained.