Surfaces of Revolution of Type 1 in Galilean 3-Space
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In this study, we classify surfaces of revolution of Type 1 in the three dimensional Galilean space G3 in terms of the position vector field, Gauss map, and Laplacian operator of the first and the second fundamental forms on the surface. Furthermore, we give a classification of surfaces of revolution of Type 1 generated by a non-isotropic curve satisfying the pointwise 1-type Gauss map equation.
Abstract
In this study, we classify surfaces of revolution of Type 1 in the three dimensional Galilean space G3 in terms of the position vector field, Gauss map, and Laplacian operator of the first and the second fundamental forms on the surface. Furthermore, we give a classification of surfaces of revolution of Type 1 generated by a non-isotropic curve satisfying the pointwise 1-type Gauss map equation.
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