TY  - JOUR
TI  - Constant angle surfaces in the Lorentzian warped product manifold $Itimes_{f} mathbb E^2_1$
AB  - Let I ×f E21 be a 3-dimensional Lorentzian warped product manifold with the metric  ̃$g = dt^2 + f^2(t)(dx^2 − dy^2)$ , where I is an open interval, f is a strictly positive smooth function on I, and $mathbb{E^2_1}$ is the Minkowski 2-plane. In this work, we give a classification of all space-like and time-like constant angle surfaces in $I ×f mathbb{^2_1}$ 1 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 $mathbb{H^3_1}(−1) $.
AU  - Dursun, Uğur
DO  - 10.55730/1300-0098.3326
PY  - 2022
JO  - Turkish Journal of Mathematics
VL  - 46
IS  - 8
SN  - 1300-0098
SP  - 3171
EP  - 3191
DB  - TRDizin
UR  - http://search/yayin/detay/1147052
ER  -