On Razzaboni Transformation of Surfaces in Minkowski 3-Space
Abstract
In this paper, we investigate the surfaces generated by
binormal motion of Bertrand curves, which is called Razzaboni surface, in
Minkowski 3-space. We discussed the geometric properties of these surfaces in with respect to
the character of Bertrand geodesics. Then, we define the Razzaboni
transformation for a given Razzaboni surface. In other words, we prove that
there exists a dual of Razzaboni surface for each case. Finally, we show that
Razzaboni transformation maps the surface which has
Bertrand geodesic with constant curvature, to the surface whose Bertrand
geodesic also has constant curvature with opposite sign.
Keywords
References
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