- Turkish Journal of Mathematics
- Vol: 38 Issue: 5
- General rotational surfaces in the 4-dimensional Minkowski space
General rotational surfaces in the 4-dimensional Minkowski space
Authors : Georgi Ganchev, Velichka Milousheva
Pages : 883-895
Doi:10.3906/mat-1312-10
View : 11 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :General rotational surfaces as a source of examples of surfaces in the 4-dimensional Euclidean space were introduced by C. Moore. In this paper we consider the analogue of these surfaces in the Minkowski 4-space. On the basis of our invariant theory of spacelike surfaces we study general rotational surfaces with special invariants. We describe analytically the flat general rotational surfaces and the general rotational surfaces with flat normal connection. We classify completely the minimal general rotational surfaces and the general rotational surfaces consisting of parabolic points.Keywords : Surfaces in the 4-dimensional Minkowski space, general rotational surfaces, minimal surfaces, flat surfaces, surfaces with flat normal connection