Abstract
In this paper, we introduce the notion of the Heisenberg ferromagnetic model for directional inextensible flows of spacelike curves by using the quasi-frame in the Minkowski space. Furthermore, we study some integrability conditions for quasi-frame fields. With this new concept, we derive the necessary and sufficient condition for the given curve to be the inextensible flow. Finally, we give some new characterizations for quasi-curvatures of the spacelike curve by Heisenberg ferromagnetic model and we obtain total phase for quasi-vector fields.
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