Two non existence results for the self-similar equation in Euclidean 3-space
Differential Geometry
2009-04-29 v1
Abstract
We prove that the only self-similar surfaces of Euclidean 3-space which are foliated by circles are the self-similar surfaces of revolution discovered by S. Angenent and that the only ruled, self-similar surfaces are the cylinders over planar self-similar curves.
Keywords
Cite
@article{arxiv.0904.4269,
title = {Two non existence results for the self-similar equation in Euclidean 3-space},
author = {Henri Anciaux},
journal= {arXiv preprint arXiv:0904.4269},
year = {2009}
}
Comments
11 pages