ON CERTAIN SPACE CURVES DUE TO PARALLEL TRANSPORT FRAME IN En

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dc.contributor.authorSingh, Charan
dc.contributor.authorKazan, Ahmet
dc.contributor.authorAltin, Mustafa
dc.contributor.authorKazan, Sema
dc.contributor.authorJamali, Mohammed
dc.date.accessioned2026-04-04T13:32:56Z
dc.date.available2026-04-04T13:32:56Z
dc.date.issued2025
dc.departmentİnönü Üniversitesi
dc.description.abstractIn this paper, we study k-type (k is an element of {0, 1, 2, ...., n-1}) slant helices due to non-zero parallel transport frame in E-n. We give some characterizations for 0-type, 1-type,..., and in general (n-1)-type slant helix due to parallel transport frame in terms of parallel transport curvatures in E-n and with the aid of these characterizations we give an important general theorem which gives the necessary and sufficient condition for any space curve to be k-type slant helices due to parallel transport frame in E-n. We also obtain the characterizations of the curves whose position vectors belong to the normal, rectifying and osculating spaces (called normal, rectifying and osculating curves, respectively) due to parallel transport frame in E-n.
dc.identifier.doi10.22190/FUMI240411029S
dc.identifier.endpage397
dc.identifier.issn0352-9665
dc.identifier.issn2406-047X
dc.identifier.issue2
dc.identifier.startpage387
dc.identifier.urihttps://doi.org/10.22190/FUMI240411029S
dc.identifier.urihttps://hdl.handle.net/11616/108797
dc.identifier.volume40
dc.identifier.wosWOS:001536337200010
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherUniv Nis
dc.relation.ispartofFacta Universitatis-Series Mathematics and Informatics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250329
dc.subjectparallel transport frame
dc.subjectk -type slant helix
dc.subjectnormal curve
dc.subjectrectifying curve
dc.titleON CERTAIN SPACE CURVES DUE TO PARALLEL TRANSPORT FRAME IN En
dc.typeArticle

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