On focal curves in euclidean n-SPACE R n

Öztürk G., ARSLAN K.

Novi Sad Journal of Mathematics, cilt.46, sa.1, ss.35-44, 2016 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.30755/nsjom.2013.058
  • Dergi Adı: Novi Sad Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.35-44
  • Anahtar Kelimeler: Darboux vector, Focal curve, Frenet curve, Normal section
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© 2016, Institute of Mathematics. All rights reserved.In this paper we consider the focal curves of the curves in the Euclidean n-space R n. First we give some basic results on Darboux vector of these curves. Later, we prove some results on the order of contact of these curves. Further, we give necessary and sufficient conditions for a focal curve to become 2-planar. We also show that if the ratios of the curvatures of a curve γ are constant then the ratios of the curvatures of the focal curve Cγ are also constant.