DIFFERENTIAL EQUATIONS CHARACTERIZING TIMELIKE AND SPACELIKE CURVES OF CONSTANT BREADTH IN MINKOWSKI 3-SPACE E13
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Abstract
In this paper, we give the differential equations characterizing the timelike and spacelike curves of constant breadth in Minkowski 3-space E-1(3). Furthermore, we give a criterion for a timelike or spacelike curve to be the curve of constant breadth in E-1(3). As an example, the obtained results are applied to the case rho = const. and k(2) = const., and are discussed.