Abstract
In this paper, it's introduced the curves lying on parallel-like surface M^{f} of a surface M in Euclidean space. Taking into account the definition of the parallel-like surface it's obtained parametric expression of these curves and examined the Darboux frame for these curves which we call image curves. And finally, the curves lying on the surfaces M and M^{f} are compared by considering their geodesic and normal curvatures, the geodesic torsion.
Publisher
International Electronic Journal of Geometry, Person (Kazim ILARSLAN)
Subject
Applied Mathematics,Geometry and Topology,Mathematical Physics
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1. On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2023-07-02