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Helicoidal surfaces under the cubic screw motion in Minkowski 3-space - MaRDI portal

Helicoidal surfaces under the cubic screw motion in Minkowski 3-space (Q2488781)

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Helicoidal surfaces under the cubic screw motion in Minkowski 3-space
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    Helicoidal surfaces under the cubic screw motion in Minkowski 3-space (English)
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    16 May 2006
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    The authors construct helicoidal surfaces under the cubic screw motion with prescribed mean or Gauss curvature in Minkowski 3-space \(E^3_1\). They also find an explicit relation between the mean curvature and Gauss curvature of them. Furthermore, they discuss helicoidal surfaces under the cubic screw motion with \(H^2= K\) and prove that these surfaces have equal constant principal curvatures.
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    Minkowski space
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    helicoidal surface
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    cubic screw motion
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