A generalization of Lancret's theorem
Yükleniyor...
Dosyalar
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Bv
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
General helices in a three dimensional Lie group with a bi-invariant metric are defined and a generalization of Lancret's theorem is obtained. We conclude that the so-called spherical images of general helices are plane curves, and we obtain the so-called spherical general helices. We also give a relation between the geodesics of the so-called cylinders and general helices. (C) 2009 Elsevier B.V. All rights reserved.
Açıklama
Anahtar Kelimeler
General helix, Lancret's theorem, Curves in Lie groups, Lie-Groups, N-Space, Helices, Hypersurfaces, Curvature, Surfaces, Curves
Kaynak
Journal of Geometry and Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
59
Sayı
12
