On spiral minimal surfaces
Differential Geometry
2008-02-15 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.math/0602435,
title = {On spiral minimal surfaces},
author = {A. V. Kiselev and V. I. Varlamov},
journal= {arXiv preprint arXiv:math/0602435},
year = {2008}
}
Comments
19 pages, 3 figures