Generalized ruled surfaces in Myller configuration
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Nis
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce a quite big ruled surface family, which is called generalized ruled surfaces with Frenet-type frame in Myller configuration for Euclidean 3-space. This paper especially improves the theory of surfaces with respect to ruled surfaces and presents the relationships between the usual theory of curves and the theory of surfaces with Myller configuration. We investigate some special type ruled surfaces, such as rectifying-type ruled surfaces, osculating-type ruled surfaces, tangent-type ruled surfaces and trajectory ruled surfaces with Frenet-type frame in Myller configuration for E<inf>3</inf> . We also give some particular cases of these ruled surfaces, as well. Since the geometry of versor fields along a curve with Frenet-type frame in Myller configuration for E<inf>3</inf> is a generalization of the usual theory of curves in classical Euclidean space, the surface theory of versor fields along a curve with Frenet-type frame in Myller configuration for E<inf>3</inf> is a generalization of the usual theory of surfaces in classical Euclidean space, as well. Then, we establish some numerical examples with some illustrative figures with respect to the ruled surfaces in Myller configuration in order to solidify and concretize the given results. © 2025 Elsevier B.V., All rights reserved.
Açıklama
Anahtar Kelimeler
Frenet-type Frame, Myller Configuration, Ruled Surface, Special Curves
Kaynak
Filomat
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
39
Sayı
15
