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An alternative moving frame for tubular surface around the spacelike curve with a spacelike binormal in Minkowski 3-space
(naslov ne postoji na srpskom)
aK. Maras Sutcu Imam University Avsar Campus, Faculty of Sciences and Letters, Department of Mathematics, K. Maras, Turkey bGazi Osman Pasa University, Faculty of Sciences and Letters, Department of Mathematics, Tokat, Turkey
e-adresa: mkkaracan@ksu.edu.tr, bbukcu@yahoo.com
Ključne reči: spacelike curve; canal surface; tubular surface; minkowski 3-space
Sažetak
(ne postoji na srpskom)
We describe a robust method for constructing a tubular surface surrounding a spacelike curve with a spacelike binormal 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.
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Reference
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Gray, A. (1998) Modern differential geometry of curves and surfaces with mathematic. Boca Raton: CRC Press
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Karacan, K.M., Bukcu, B. (2007) An alternative moving frame for tubular surfaces around Timelike curves in the Minkowski 3-space. Balkan Journal of Geometry and its Applications, vol. 12, br. 2, 73-80
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Karacan, M.K. (2004) Kinematics applications of two parameter motions. Ankara: University Graduate School, Ph. D Thesis
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Petrović-Torgašev, M., Šućurović, E. (2000) Some characterizations of the spacelike, the timelike and the null curves on the pseudohyperbolic space H20 in E31. Kragujevac Journal of Mathematics, br. 22, str. 71-82
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Rostamian, R. (2000) The differential geometry of tube plots in computer graphics. Technical Report, January
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