Published January 1, 2014
| Version v1
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Surface Pencil with a Common Line of Curvature in Minkowski 3-Space
Creators
- 1. Ondokuz Mayis Univ, Carsamba Chamber Commerce Vocat Sch, TR-55500 Samsun, Turkey
- 2. Ondokuz Mayis Univ, Fac Arts & Sci, Dept Math, TR-55139 Samsun, Turkey
Description
In this paper, we analyze the problem of constructing a surface pencil from a given spacelike (timelike) line of curvature. Using the Frenet frame of the given line of curvature in Minkowski 3-space, we express the surface pencil as a linear combination of this frame and derive the necessary and sufficient conditions for the coefficients to satisfy the line of curvature requirement. We illustrate this method by presenting some examples.
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