Geodesic
Framed clad helices in Euclidean 3-space
Filomat, Tome 37 (2023) no. 28, p. 9627

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DOI

In this study, we introduce framed clad helices, which are a generalization of clad (i.e. C-slant or 2-slant) helices in Euclidean 3-space. They also include framed helices and framed slant helices. After, we give a characterization of the framed clad helices using the alternative adapted frame, which is more useful than the adapted frame of a framed curve. Moreover, we prove the existence of framed spherical images of any framed curve using alternative adapted frames. Additionally, we obtain interesting results regarding the relationship between a framed clad helix and its framed spherical images. Finally, we support the concept with some nice graphics.
DOI : 10.2298/FIL2328627M
Classification : 53A04, 58K05
Keywords: Framed curve, Darboux vector, helix, slant helix, clad helix 
Mahmut Mak. Framed clad helices in Euclidean 3-space. Filomat, Tome 37 (2023) no. 28, p. 9627 . doi: 10.2298/FIL2328627M
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     author = {Mahmut Mak},
     title = {Framed clad helices in {Euclidean} 3-space},
     journal = {Filomat},
     pages = {9627 },
     year = {2023},
     volume = {37},
     number = {28},
     doi = {10.2298/FIL2328627M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328627M/}
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