On the curvatures of spacelike circular surfaces
Keywords:
Ruled surface, singularities, spacelike canal surface, spacelike circular surface, spacelike roller coaster surface.Abstract
In this paper a complete system of invariants is presented to study spacelike circular surfaces with fixed radius. Thestudy of spacelike circular surfaces is simplified to the study of two curves: the Lorentzian spherical indicatrix of theunit normals of circle planes and the spacelike spine curve. Then the geometric meanings of these invariants are used togive corresponding properties of spacelike circular surfaces with classical ruled surfaces. Later, we introduce spacelikeroller coaster surfaces as a special class of spacelike circular surfaces.References
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