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DIFFERENTIAL EQUATIONS CHARACTERIZING TIMELIKE AND SPACELIKE CURVES OF CONSTANT BREADTH IN MINKOWSKI 3-SPACE E<sub>1</sub><sup>3</sup>
In this paper, we give the differential equations characterizing the timelike and spacelike curves of constant breadth in Minkowski 3-space <TEX>$E^3_1$</TEX>. Furthermore, we give a criterion for a timelike or spacelike curve to be the curve of constant breadth in <TEX>$E^3_1$</TEX>. As an example, the obtained results are applied to …