Axial minimal surfaces in S^2 x R are helicoidal

Details Axial minimal surfaces in S^2 x R are helicoidal Axial minimal surfaces in S^2 x R are helicoidal

2009-09-15

arxiv.org/abs/0909.2851v2

Mathematics

Differential Geometry

7 pages. The revised version corrects a minor error on page 5

Scientific paper

We prove that if a complete, properly embedded, finite-topology minimal
surface in S^2 x R contains a line, then its ends are asymptotic to helicoids,
and that if the surface is an annulus, it must be a helicoid.

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