A Note On Lamarle Formula Inminkowski 3-Space
Yükleniyor...
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tamkang Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The Lamarle formula is known as a simple relation between the Gaussian curvature and the distribution parameter of a non-developable ruled surface. In this paper, we obtain the Lamarle formula of a non-developable ruled surface with pseudo null base curve and null director vector field inMinkowski 3-space. We also obtain the corresponding striction line and distribution parameter of such surface. We prove that there is no Lamarle formula when the director vector field is spacelike and its derivative is null, because the ruled surface in that case is a lightlike plane. Finally, we give some examples.
Açıklama
Nesovic, Emilija/0000-0003-3600-0486; Ozturk, Ufuk/0000-0002-8800-7869
Anahtar Kelimeler
Pseudo-null curve, ruled surface, Minkowski 3-space
Kaynak
Tamkang Journal Of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
49
Sayı
4
Künye
Nesovic, Emilija & Ilarslan, Kazim & Ozturk, Ufuk & Öztürk, Esra Betül. (2018). A note on Lamarle formula in Minkowski 3-space. Tamkang Journal of Mathematics. 49. 291-300.
