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On Bishop Frames of Any Regular Curve in Euclidean 3-Space

MakaleAçık Erişim

Özet

Relationships between type-1 Bishop and Frenet, type-2 Bishop and Frenet, alternative and Frenet, N-Bishop and alternative frames of any regular curve in Euclidean 3-space are known. In this study, relationships between N-Bishop and Frenet frames and relationships between type-1 Bishop, type-2 Bishop and N-Bishop frames of any regular curve in Euclidean 3-space are given. In addition, pole vectors (unit vectors in the direction of Darboux vectors) belonging to these frames are computed. Last, pole and Darboux vectors belonging to these frames are compared with each other.

Anahtar Kelimeler

Matematik
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/20139Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.35414/akufemubid.1343172Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorMazlum, Sümeyye Gür
dc.date.accessioned2026-10-22T10:52:56.441671232Z
dc.date.available2026-10-22T10:52:56.441671232Z
dc.date.issued2024
dc.description.abstractRelationships between type-1 Bishop and Frenet, type-2 Bishop and Frenet, alternative and Frenet, N-Bishop and alternative frames of any regular curve in Euclidean 3-space are known. In this study, relationships between N-Bishop and Frenet frames and relationships between type-1 Bishop, type-2 Bishop and N-Bishop frames of any regular curve in Euclidean 3-space are given. In addition, pole vectors (unit vectors in the direction of Darboux vectors) belonging to these frames are computed. Last, pole and Darboux vectors belonging to these frames are compared with each other.
dc.identifier.doi10.35414/akufemubid.1343172
dc.identifier.eissn2149-3367
dc.identifier.endpage33
dc.identifier.issue1
dc.identifier.startpage23
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/20139
dc.identifier.volume24
dc.language.isoen
dc.relation.ispartofAfyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMatematik
dc.titleOn Bishop Frames of Any Regular Curve in Euclidean 3-Space
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex2
rdl.citation.trdizin1
rdl.oa.statusgold
rdl.oa.urlhttps://dergipark.org.tr/en/download/article-file/3332369
rdl.source.indexTRDIZIN