paper

On spiral minimal surfaces

arXiv:math/0602435 · doi:10.1016/j.difgeo.2007.11.039

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.

19 pages, 3 figures

On spiral minimal surfaces · wovepaper