Direction curves and construction of developable surfaces in Lorentz 3-space

Abstract

In this work we investigate singularities for the three types of developable surfaces, introduced by Izumiya and Takeuchi, in Lorentz 3 space and give a local classification in terms of k-order frame. Moreover we search the necessary conditions of being a geodesic for principal direction curves of the rectifying developable surface.

Keywords

• Developable surfaces
• singular points
• special curves

References

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