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Screw motion surfaces in \(\widetilde{PSL}_2 (\mathbb{R}, \tau)\) - MaRDI portal

Screw motion surfaces in \(\widetilde{PSL}_2 (\mathbb{R}, \tau)\) (Q2348278)

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Screw motion surfaces in \(\widetilde{PSL}_2 (\mathbb{R}, \tau)\)
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    Screw motion surfaces in \(\widetilde{PSL}_2 (\mathbb{R}, \tau)\) (English)
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    11 June 2015
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    A screw motion surface in \(\widetilde{\mathrm{PSL}}_2(\mathbb{R},\tau)\) is a minimal or constant mean curvature surface invariant by helicoidal isometries. In this paper the author gives a variety of very explicit examples for screw motion surfaces. The examples are orbits of generating curves under a 1-parameter family of helicoidal isometries.
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    constant mean curvature
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    screw motion
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    helicoids
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