Slant curves in the Lorentzian warped product manifold - I× fE²
Yükleniyor...
Dosyalar
Tarih
2022-03-15
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Birkhauser
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we study slant curves in the 3-dimensional Lorentzian warped product - I× fE², where E² is a 2-dimensional Euclidean plane, I? R is an open interval equipped with the metric dt², and f is a positive smooth function on I. First we give a characterization of slant curves, and then we obtain a classification of all slant curves in - I× fE². We also compute their curvature and torsion, and we obtaine some results on slant curves and helices in the de Sitter space S13(1) and in the Minkowski space E13. Moreover we determined some biharmonic slant curves in S13(1).
Açıklama
Anahtar Kelimeler
Biharmonic curves, Helix, Lorentzian manifold, Slant curves, Warped product, General helices
Kaynak
Journal of Geometry
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
113
Sayı
1
Künye
Dursun, U. (2022). Slant curves in the Lorentzian warped product manifold - I× fE². Journal of Geometry, 113(1), 1-18. doi:10.1007/s00022-022-00637-3
