Classification of rotational surfaces in pseudo-Galilean space. (English) Zbl 1333.53021
Summary: In the present paper, we study rotational surfaces in the three dimensional pseudo-Galilean space \(G_{3}^{1}\). Also, we characterize rotational surfaces in \(G_{3}^{1}\) in terms of the position vector field, Gauss map and Laplacian operator of the second fundamental form on the surface.
MSC:
53A35 | Non-Euclidean differential geometry |
53B30 | Local differential geometry of Lorentz metrics, indefinite metrics |