Abstract. In this paper, we give the differential equations characterizing the timelike and spacelike curves of constant breadth in Minkowski 3-space E 3 1 . Furthermore, we give a criterion for a timelike or spacelike curve to be the curve of constant breadth in E 3 1 . As an example, the obtained results are applied to the case ρ = const. and k 2 = const., and are discussed.
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