Abstract
A generalized helicoid and a rotational surface have a isometric relation by Bour’s theorem. It is that ”A generalized helicoid is isometric to a rotational surface. Hence, helices on the helicoid correspond to parallel circles on the rotational surface under the isometric transformation. In this study, we give a conformal relation between a generalized helicoid and a spiral surface in 3 dimensional Minkowski space . In this sitiutation, we can say that helices on the helicoid correspond to spirals on the spiral surface under the conformal transformation. Also, some related figures are given.
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More From: Journal of Dynamical Systems and Geometric Theories
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