On Closed Space Curves in Minkowski Space-Time E v n

Arı Z., Önder M.

Differential Equations and Dynamical Systems, cilt.20, sa.2, ss.179-187, 2012 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s12591-012-0113-y
  • Dergi Adı: Differential Equations and Dynamical Systems
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.179-187
  • Anahtar Kelimeler: Minkowski space-time, Closed curves, Frenet-Serret frame
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

A criterion for a 3-space curve to be closed has been presented in "Chung: Proc. Am. Math. Soc. 83, 357-361 (1981)". In this paper, following same procedure, we give generalization of the criterion for a 3-space curve to an n-space curve to be closed in Minkowski space-time E v n . Furthermore, we apply this criterion for a curve lying on an oriented surface in the Minkowski 3-space E 1 3 as an application. © 2012 Foundation for Scientific Research and Technological Innovation.