On the energy of frenet vectors fields in R-n

ALTIN A.

COGENT MATHEMATICS, cilt.4, sa.1, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/23311835.2017.1388759
  • Dergi Adı: COGENT MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, we compute the energy of Frenet vector fields for a given curve C in n-dimensional Euclidean space. We observe that the energy and angle may be expressed in terms of the curvature functions of C. If the first curvature function of the curve is the identity function then its first integral is the angle between the velocity vectors and its second integral gives the energy of the velocity vector of the curve.