Spacelike Bertrand curves in Minkowski 3-space revisited
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ovidius Univ Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the geometry of curves in E-3, if the principal normal vector field ofa given space curve phi with non-zero curvatures is the principal normalvector field of another space curve phi(& lowast;), then the curve phi is called aBertrand curve and phi(& lowast;) is called Bertrand partner of phi. These curveshave been studied in different space over a long period of time and foundwide application in different areas. Therefore, we have a great knowledgeof geometric properties of these curves. In this paper, revested resultsfor spacelike Bertrand curves with non-null normal vectors will be givenwith the previous studies on Bertrand curves in E-1(3). Follow this revestedresults, the Bertrand curve conditions of a spacelike curve are obtainedin E-1(3). In addition, new curve samples that meet the obtained conditionsare constructed and the graphs of these curves are given.
Açıklama
Anahtar Kelimeler
Minkowski 3-space; Bertrand curves; Non-null curves
Kaynak
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
31
Sayı
3
