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a note on bertrand curves and constant slope surfaces according to darboux frame
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نویسنده
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babaarslan murat ,tandogan yusuf ali ,yayli yusuf
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منبع
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journal of advanced mathematical studies - 2012 - دوره : 5 - شماره : 1 - صفحه:87 -96
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چکیده
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In [int. j. phys. sci., 6(2011), no. 8, 1868-1875], babaarslan and yaylistudied constant slope surfaces and bertrand curves in euclidean 3-space. they foundparametrization of constant slope surfaces for spherical indicatrices of a space curve.furthermore, they investigated bertrand curves corresponding to parameter curves ofconstant slope surfaces. in this work, we give some different characterizations of bertrandcurves and constant slope surfaces with respect to the darboux frame. subsequently, weexpress some interesting relations and illustrate some examples of our main results.
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کلیدواژه
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bertrand curves ,constant slope surfaces ,the darboux frame ,spherical images
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آدرس
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bozok university, faculty of arts and sciences, department of mathematics, turkey, bozok university, faculty of arts and sciences, department of mathematics, turkey, ankara university, faculty science, department of mathematics, turkey
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پست الکترونیکی
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yayli@science.ankara.edu.tr
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Authors
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