SINGULARITIES OF DEVELOPABLE SURFACES IN LORENTZ 3-SPACE

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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 [3,4]. Moreover we search the necessary conditions of being a geodesic for principal direction curves of the rectifying developable surface.

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last seen: 2026-05-19T01:45:01.086888+00:00