Construction of the Frenet-Serret frame of a curve in 4D Galilean space and some applications

Yilmaz S.

INTERNATIONAL JOURNAL OF THE PHYSICAL SCIENCES, cilt.5, sa.8, ss.1284-1289, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 8
  • Basım Tarihi: 2010
  • Dergi Adı: INTERNATIONAL JOURNAL OF THE PHYSICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1284-1289
  • Anahtar Kelimeler: Galilean space, Frenet-Serret frame, spherical curves, vector differential equation, SURFACES, HELICES
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

In this work, first, we construct Frenet-Serret frame of a curve in the Galilean 4-space. As a result of this, we obtain the mentioned curve's Frenet-Serret equations. Then, we prove that tangent vector of a curve in Galilean 4-space satisfies a vector differential equation of fourth order. Additionally, some characterizations of Galilean spherical curves and an example of the main results are presented.