Axial minimal surfaces in S² x R are helicoidal
classification
🧮 math.DG
keywords
minimalsurfaceannulusasymptoticaxialcompletecontainsembedded
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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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