Constant angle surfaces in the Lorentzian warped product manifold I ×f E²1
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:10.55730/1300-0098.3326Özet
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).
Kaynak
Turkish Journal of MathematicsCilt
46Sayı
8İlgili Öğeler
Başlık, yazar, küratör ve konuya göre gösterilen ilgili öğeler.
-
Image recovery of inaccessible rough surfaces profiles having impedance boundary condition
Sefer, Ahmet; Yapar, Ali (IEEE, 2022)This letter addresses a reconstruction algorithm of locally rough inaccessible surface profiles via the knowledge of the scattered field data under the consideration of the impedance boundary condition (IBC). To this aim, ... -
CNN-Based deep learning architecture for electromagnetic imaging of rough surface profiles
Aydın, İzde; Budak, Güven; Sefer, Ahmet; Yapar, Ali (IEEE, 2022-10)A convolutional neural network (CNN) based deep learning (DL) technique for electromagnetic imaging of rough surfaces separating two dielectric media is presented. The direct scattering problem is formulated through the ... -
Optimization of inverse problems involving surface reconstruction: least squares application
Sefer, Ahmet (Institute of Electrical and Electronics Engineers Inc., 2022)This article addresses the least-squares method, which is vital in inverse scattering problems involving the reconstruction of inaccessible rough surface profiles from the measured scattered field data. The unknown surface ...