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On spiral minimal surfaces

A. V. Kiselev·V. I. Varlamov
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Abstract

A class of spiral minimal surfaces in E^3 is constructed using a symmetry reduction. The new surfaces are invariant with respect to the composition of rotation and dilatation. The solutions are obtained in closed form %through the Legendre transformation and their asymptotic behaviour is described.

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A. V. Kiselev, V. I. Varlamov. 2006-02-20. On spiral minimal surfaces. https://doi.org/10.1016/j.difgeo.2007.11.039

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