Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4

Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4

In this study, the differential equation characterizations of constant breadth timelike curves are given in Minkowski 4-space E14. Furthermore, a criterion for a timelike curve to be a curve of constant breadth in E14  is introduced. As an example, the obtained  results are applied to the case that the curvatures k1, k2, k3 and are discussed.

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  • Ball, N. H., On Ovals, American Mathematical Monthly, 37(7), 348-353, (1930).
  • Barbier, E., Note sur le probl´eme de l’aiguille et le jeu du joint couvert. J. Math. Pures Appl., II. Ser. 5, 273-286, (1860).
  • Blaschke, W., Konvexe bereiche gegebener konstanter breite und kleinsten inhalts, Math. Annalen, B.76, 504-513, (1915).
  • Blaschke,W., Einige Bemerkungen ¨uber Kurven und Fl¨achen von konstanter Breite., Ber. Verh. s¨achs. Akad. Leipzig, 67, 290-297, (1915).