Two non existence results for the self-similar equation in Euclidean 3-space

Details Two non existence results for the self-similar equation in Euclidean 3-space Two non existence results for the self-similar equation in Euclidean 3-space

2009-04-27

arxiv.org/abs/0904.4269v1

Mathematics

Differential Geometry

11 pages

Scientific paper

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.

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