New approach to timelike Bertrand curves in 3-dimensional Minkowski space
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Vasyl Stefanyk Precarpathian Natl Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the theory of curves in Euclidean 3-space, it is well known that a curve /3 is said to be a Bertrand curve if for another curve /3* there exists a one-to-one correspondence between /3 and /3* such that both curves have common principal normal line. These curves have been studied in differ-ent spaces over a long period of time and found wide application in different areas. In this article, the conditions for a timelike curve to be Bertrand curve are obtained by using a new approach in contrast to the well-known classical approach for Bertrand curves in Minkowski 3-space. Related examples that meet these conditions are given. Moreover, thanks to this new approach, timelike, spacelike and Cartan null Bertrand mates of a timelike general helix have been obtained.
Açıklama
Anahtar Kelimeler
Bertrand curve; timelike curve; spacelike curve; Cartan null curve; Minkowski 3-space
Kaynak
Carpathian Mathematical Publications
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
15
Sayı
2
