Non-degenerate Surfaces of Revolution in Minkowski Space That Satisfy the Relation
نویسنده
چکیده
In this work we study spacelike and timelike surfaces of revolution in Minkowski space E1 that satisfy the linear Weingarten relation aH+bK = c, where H and K denote the mean curvature and the Gauss curvature of the surface and a, b and c are constants. The classification depends on the causal character of the axis of revolution. We will give a first integral of the equation of the generating curve of the surface and obtain explicit solutions for some particular choices of the constants a, b and c. Also, we completely solve the equation when the axis of revolution of the surface is lightlike.
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