On Razzaboni Transformation of Surfaces in Minkowski 3-Space
نویسندگان
چکیده
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 M according 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 σ, which has Bertrand geodesics with constant curvature, to the surface σ∗ whose Bertrand geodesics also have constant curvature with opposite sign.
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