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INTEGRAL CURVES CONNECTED WITH A FRAMED CURVE IN 3-SPACE
Mustafa Duldul,Zeynep Bulbul 호남수학회 2023 호남수학학술지 Vol.45 No.1
In this paper, we define some integral curves connected with a framed curve in Euclidean 3-space. These curves include framed generalized principal-direction curve, framed generalized binormal-direction curve, framed principal-donor curve and framed Darboux-direction curve. We obtain some relations between the framed curvatures of new defined framed curves and framed curvatures of given framed curve. By using the obtained relationships we give some characterizations for such curves. We also give methods for constructing framed helix and framed slant helix from planar curves