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An alternative moving frame for a tubular surface around a spacelike curve with a spacelike normal in Minkowski 3-space |
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| Authors: | Murat Kemal Karacan Bahaddin Bukcu |
| Affiliation: | (1) Faculty of Sciences and Arts, Department of Mathematics, Usak University, 1 Eylul Campus, 64200 Usak, Turkey;(2) Faculty of Sciences and Letters Department of Mathematics, Gazi Osman Pasa University, Tokat, Turkey |
| Abstract: | We describe a robust method for constructing a tubular surface surrounding a spacelike curve with a spacelike principal normal in Minkowski 3-Space. Our method is designed to eliminate undesirable twists and wrinkles in the tubular surface’s skin at points where the curve experiences high torsion. In our construction the tubular surface’s twist is bounded by the spacelike curve’s curvature and is independent of the spacelike curve’s torsion. |
| Keywords: | Spacelike curve Canal Surface Tubular Surface Alternative moving frame Minkowski 3-Space |
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