Journal of Advanced Mechanical Design, Systems, and Manufacturing (Sep 2015)
Spacelike developable surfaces through a common line of curvature in Minkowski 3-space
Abstract
This paper studies the problem to construct a spacelike developable surface possessing a given non-null parametric curve as the line of curvature in Minkowski 3-space. By using Frenet frame to express the surface, we derive the necessary and sufficient conditions when the resulting spacelike developable surface is cylinder, cone or tangent surface. Finally, we give some representative examples.
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