Axial minimal surfaces in S^2 x R are helicoidal

David Hoffman; Brian White

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arXiv · 0909.2851

Axial minimal surfaces in S^2 x R are helicoidal

David Hoffman·Brian White

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Abstract

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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David Hoffman, Brian White. 2009-09-15. Axial minimal surfaces in S^2 x R are helicoidal. https://arxiv.org/abs/0909.2851

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