On Razzaboni Transformation of Surfaces in Minkowski 3-Space
Journal Title: Cumhuriyet Science journal - Year 2019, Vol 40, Issue 1
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.
Authors and Affiliations
Melek ERDOĞDU, Mustafa ÖZDEMİR
Keywords
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