Surface pencil with a common line of curvature in Minkowski 3-space |
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| Authors: | Evren Ergün Ergin Bayram Emin Kasap |
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| Institution: | [1]Ondokuz Mayas University, Carsamba Chamber of Commerce Vocational School, Samsun 55500, Turkey; [2]Ondokuz Mayzs University, Faculty of Arts and Sciences, Mathematics Department, Samsun 55139, Turkey |
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| Abstract: | 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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| Keywords: | Minkowski space line of curvature surface pencil |
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