Sequential natural mates of Frenet curves in Euclidean 3-space
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Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Associated with a Frenet curve alpha in Euclidean 3-space E-3, there exists the notion of natural mate beta of alpha. In this article, we extend the natural mate beta to sequential natural mates {alpha(1), alpha(2), . . . , alpha(n alpha)} with alpha(1) = beta. We call each curve alpha(i), i epsilon {1, 2, . . . , n(alpha)}, the i-th natural mate. The main purpose of this article is to study the relationships between the given Frenet curve a with its sequential natural mates {alpha(1), alpha(2), . . . , alpha n(alpha)}.
Açıklama
Anahtar Kelimeler
Anti-Salkowski curve; Bertrand curve; general helices; ith natural mate; Mannheim curve; natural mates; Salkowski curve; sequential natural mate
Kaynak
Journal of Geometry
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
112
Sayı
3
