Gaussian map of channel surfaces

In this study, which is prepared as a master thesis, firstly, information about the channel surfaces in Euclidean space will be given and the geometry of an M channel surface satisfying the Δ𝔾=f(𝔾+C) condition will be examined. Here 𝔾 is the Gaussian map of the surface M, f is a differentiable function on M, and C is a constant vector. After then, similar to the operations performed in Euclidean space, the Gaussian map of the channel surfaces in Minkowski space will be calculated and classifications will be made according to the causal characters of the surface. Keywords: Channel surfaces, Gaussian map, Gaussian curvature, Mean curvature