2022
DOI: 10.3934/math.2023115
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The developable surfaces with pointwise 1-type Gauss map of Frenet type framed base curves in Euclidean 3-space

Abstract: <abstract><p>In this study, the ruled developable surfaces with pointwise 1-type Gauss map of Frenet-type framed base (Ftfb) curve are introduced in Euclidean 3-space. The tangent developable surfaces, focal developable surfaces, and rectifying developable surfaces with singular points are considered. Then the conditions for the Gauss map of these surfaces to be pointwise 1-type are obtained separately. In order to form a basis for the study, first, the basic concepts related to the Ftfb curve and … Show more

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Cited by 35 publications
(1 citation statement)
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“…Using these moving frames, they introduced evolutes of spacelike and timelike fronts. For some recent studies on frontals and singularities, see previous works [6,[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33].…”
Section: Introductionmentioning
confidence: 99%
“…Using these moving frames, they introduced evolutes of spacelike and timelike fronts. For some recent studies on frontals and singularities, see previous works [6,[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33].…”
Section: Introductionmentioning
confidence: 99%