Constant angle surfaces in the Lorentzian warped product manifold I ×f E²1
Yükleniyor...
Tarih
2022-09-14
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tübitak
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let I ×f E²1 be a 3-dimensional Lorentzian warped product manifold with the metric g˜ = dt² + f² (t)(dx² ? dy² ), where I is an open interval, f is a strictly positive smooth function on I, and E²1 is the Minkowski 2-plane. In this work, we give a classification of all space-like and time-like constant angle surfaces in I ×f E²1 with nonnull principal direction when the surface is time-like. In this classification, we obtain space-like and time-like surfaces with zero mean curvature, rotational surfaces, and surfaces with constant Gaussian curvature. Also, we have some results on constant angle surfaces of the anti-de Sitter space H³1(?1).
Açıklama
Anahtar Kelimeler
Constant angle surface, Warped product, Rotational surface, Maximal surface, Zero mean curvature, Gaussian curvature, Helix surfaces, Graphs
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
46
Sayı
8
Künye
Dursun, U. (2022). Constant angle surfaces in the Lorentzian warped product manifold I ×f E²1. Turkish Journal of Mathematics, 46(8), 3171-3191. doi:10.55730/1300-0098.3326
