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In this paper, we study the position vector of a developable $q$-slant ruled surface in the Euclidean 3-space $E^3$ in means of the Frenet frame of a $q$-slant ruled surface. First, we determinate the natural representations for the striction curve and ruling of a $q$-slant ruled surface. Then we obtain general parameterization of a developable $q$-slant ruled surface with respect to the conical curvature of the surface. Finally, we introduce some examples for the obtained result.
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참고문헌 (18)
참고문헌 신청
A. T. Ali / 2010 / Position vectors of spacelike general helices in Minkowski 3-space / Nonl. Anal. Theory Meth. Appl 73(4):1118~1126
A. T. Ali / 2013 / Position vectors of timelike general helices in Minkowski 3-space / Glob. J. Adv. Res. Class. Mod. Geom 2(1):1~10
A. T. Ali / 2010 / Position vector of a timelike slant helix in Minkowski 3-space / J. Math. Anal. Appl 365(2):559~569
A. T. Ali / 2012 / Position vectors of slant helices in Euclidean Space E3 / J. of Egyptian Math. Soc 20(1):1~6
A. T. Ali / 2011 / Position Vectors of General Helices in Euclidean 3-space / Bulletin of Math. Analysis and App 3(2):198~205
A. T. Ali / 2013 / Position vectors of timelike general helices in Minkowski 3-space / Glob. J. Adv. Res. Class. Mod. Geom 2(1):1~10
A. T. Ali / 2010 / Position vector of a timelike slant helix in Minkowski 3-space / J. Math. Anal. Appl 365(2):559~569
A. T. Ali / 2012 / Position vectors of slant helices in Euclidean Space E3 / J. of Egyptian Math. Soc 20(1):1~6
A. T. Ali / 2011 / Position Vectors of General Helices in Euclidean 3-space / Bulletin of Math. Analysis and App 3(2):198~205
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