TY - JOUR TT - Some characterizations of constant breadth timelike curves in Minkowski 4-space E_1^4 AU - Kocayigit, Huseyin AU - Cicek, Zennure PY - 2016 DA - January JF - Communication in Mathematical Modeling and Applications JO - CMMA PB - Mustafa BAYRAM WT - DergiPark SN - 2528-830X SP - 52 EP - 61 VL - 1 IS - 1 KW - Constant breadth curve KW - timelike curve KW - Frenet frame. N2 - 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. CR - Ball, N. H., On Ovals, American Mathematical Monthly, 37(7), 348-353, (1930). CR - 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). CR - Blaschke, W., Konvexe bereiche gegebener konstanter breite und kleinsten inhalts, Math. Annalen, B.76, 504-513, (1915). CR - Blaschke,W., Einige Bemerkungen ¨uber Kurven und Fl¨achen von konstanter Breite., Ber. Verh. s¨achs. Akad. Leipzig, 67, 290-297, (1915). UR - https://dergipark.org.tr/en/pub/cmma/issue//292081 L1 - https://dergipark.org.tr/en/download/article-file/276110 ER -