New Types of Canal Surfaces in Minkowski 3-Space
Yükleniyor...
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Canal surface is a surface formed as the envelope of a family of spheres whose centers lie on a space curve. In Minkowski 3-space, many authors studied canal surfaces. However, when one investigates the papers, it is obvious that the parametrizations of the canal surfaces were found with respect to only pseudo sphere . In this paper, we reconsider the canal surfaces for all Lorentz spheres which are pseudo sphere , pseudo-hyperbolic sphere H (2)(r) or lightlike cone C and we find the parametrizations of the surfaces. Moreover, we found the parametrization of the tubular surfaces with respect to all Lorentz spheres. Also, we study Weingarten and linear Weingarten type spacelike tubular surface obtained from pseudo-hyperbolic sphere and the singular points of the spacelike tubular surface obtained from pseudo-hyperbolic sphere H-0(2)(r).
Açıklama
Anahtar Kelimeler
Canal surfaces, Tubular surfaces, Weingarten surfaces, Minkowski 3-space, Space curves
Kaynak
Advances In Applied Clifford Algebras
WoS Q DeÄŸeri
Q4
Scopus Q DeÄŸeri
Q3
Cilt
26
Sayı
1
Künye
closedAccess