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POSITION VECTOR OF A DEVELOPABLE SPACE-LIKE h-SLANT RULED SURFACE IN MINKOWSKI 3-SPACE
Pages : [129] - [151]
Received : September 13, 2021; Revised December 17, 2021
Communicated by : Professor Suayip Yuzbasi
Abstract
In this study, we investigate the position vector of a developable space-like h-slant ruled surface in Minkowski 3-space. First, we determine the conical curvature of a space-like h-slant ruled surface. Then, by achieving a differential equation with respect to the central normal vector of the ruled surface, we give the position vector of a developable space-like h-slant ruled surface with striction line as its base curve. Finally, we give some examples for the obtained results and construct new developable space-like h-slant ruled surfaces.
Keywords
Minkowski 3-space, ruled surface, developable surface, h-slant.