Logarithmically spiraling helicoids
Differential Geometry
2014-04-30 v2 Analysis of PDEs
Abstract
We construct helicoid-like embedded minimal disks with axes along self-similar curves modeled on logarithmic spirals. The surfaces have a self-similarity inherited from the curves and the nature of the construction. Moreover, inside of a "logarithmic cone", the surfaces are embedded.
Cite
@article{arxiv.1404.6996,
title = {Logarithmically spiraling helicoids},
author = {Christine Breiner and Stephen J. Kleene},
journal= {arXiv preprint arXiv:1404.6996},
year = {2014}
}
Comments
26 pages, 1 figure