On the curve evolution with a new modified orthogonal Saban frame

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dc.contributor.authorYakut, Atakan Tugkan
dc.contributor.authorKizilay, Alperen
dc.date.accessioned2024-11-07T13:24:09Z
dc.date.available2024-11-07T13:24:09Z
dc.date.issued2024
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractThe flow of a curve is said to be inextensible if the arc length in the first case and the intrinsic curvature in the second case are preserved. In this work, we investigated the inextensible flow of a curve on S2 2 according to a modified orthogonal Saban frame. Initially, we gave the definition of the modified Saban frame and then established the relations between the Frenet and the modified orthogonal Saban frames. Later, we determined the inextensible curve flow and geodesic curvature of a curve on the unit sphere using the modified orthogonal Saban frame. Also, we gave some theorems and results for special cases of the evolution of a curve on a sphere. Finally, we gave examples and their graphs for the inextensible flow equation of curvatures.
dc.identifier.doi10.3934/math.20241432
dc.identifier.endpage29586
dc.identifier.issn2473-6988
dc.identifier.issue10
dc.identifier.startpage29573
dc.identifier.urihttps://doi.org/10.3934/math.20241432
dc.identifier.urihttps://hdl.handle.net/11480/13947
dc.identifier.volume9
dc.identifier.wosWOS:001339302100012
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241106
dc.subjectevolution
dc.subjectinextensible flow
dc.subjectmodified Saban frame
dc.subjectSaban frame
dc.subjectgeodesic curvature
dc.titleOn the curve evolution with a new modified orthogonal Saban frame
dc.typeArticle

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