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Bour's theorem in Minkowski 3-space
(Kyoto Journal of Mathematics, 2006)
In this study, we show that a Generalized helicoid with null axis is isometric to a rotation surface with null axis so that helices on the Helicoid correspond to parallel circles on the rotation surface in three dimensional ...
Generalized bour s theorem
(Kuwait Journal of Science, 2015)
We give the classical isometric minimal helicoidal and rotational surfaces using generalized Bour’s theorem in Euclidean 3-space. Furthermore, we investigate the minimality and have same Gauss map of the surfaces.