SURFACES FAMILY WITH COMMON SMARANDACHE GEODESIC CURVE

Şaffak Atalay G., Kasap E.

JOURNAL OF SCIENCE AND ARTS, sa.4, ss.651-664, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.651-664
  • Anahtar Kelimeler: Geodesic Curve, Smarandache Curves, Frenet Frame, Ruled Surface, PARAMETRIC REPRESENTATION, PENCIL, LINE
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we analyzed the problem of finding a surfaces family through a given some special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in Euclidean 3-space, we constructed a differential equation system such that a given Smarandache curves satisfy both the geodesic and isoparametric requirements. The extension to ruled surfaces is also outlined. Finally, we demonstrated some interesting surfaces about subject.