Differential equations and integral characterizations of timelike and spacelike spherical curves in the Minkowski space-time $E_1^4 $

Author M. Onder, T. Kahraman, H. H. Ugurlu
mehmet.onder@cbu.edu.tr, tanju.kahraman@cbu.edu.tr; hugurlu@gazi.edu.tr
Celal Bayar University, Muradiye Campus, Muradiye, Manisa, Turkey; Gazi University, Ankara, Turkey

Abstract In this paper we give differential equations characterizing timelike and spacelike curves lying on hyperbolic sphere $H_0^3 $ and Lorentzian sphere $S_1^3 $ in the Minkowski space-time $E_1^4 $. Furthermore, we give the integral characterizations of these curves in $E_1^4 $.
Keywords Minkowski space-time; timelike curve; Frenet frame
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Pages 30-37
Volume 40
Issue 1
Year 2013
Journal Matematychni Studii
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