Title of article :
Characterizations of Slant Ruled Surfaces in the Euclidean 3-space
Author/Authors :
Kaya ، Onur - Manisa Celal Bayar University, Muradiye Campus , Onder ، Mehmet - Manisa Celal Bayar University, Muradiye Campus
Pages :
16
From page :
31
To page :
46
Abstract :
In this study, we give the relationships between the conical curvatures of ruled surfaces generated by the unit vectors of the ruling, central normal and central tangent of a ruled surface in the Euclidean 3-space E3. We obtain differential equations characterizing slant ruled surfaces and we give the conditions for the surfaces generated by central normal and central tangent vectors to be slant ruled surfaces while the reference ruled surface is a slant ruled surface.
Keywords :
Slant ruled surface , Frenet frame , Conical curvature , Differential equation
Journal title :
Caspian Journal of Mathematical Sciences
Serial Year :
2017
Journal title :
Caspian Journal of Mathematical Sciences
Record number :
2462139
Link To Document :
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