JP Journal of Geometry and Topology
Volume 10, Issue 1, Pages 1 - 10
(March 2010)
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HELICOIDAL SURFACES IN THE HEISENBERG 3-SPACE
Andreas Arvanitoyeorgos and George Kaimakamis
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be
the Heisenberg 3-space with Riemannian metric
We
study helicoidal surfaces in
obtained
by a rotation and translation of a curve around an axis, which does not
intersect the curve. Such a study leads to the evaluation of elliptic integrals.
We give examples of such surfaces with prescribed Gauss curvature.
