Two non existence results for the self-similar equation in Euclidean 3-space
classification
🧮 math.DG
keywords
self-similarsurfaceseuclideanonlyspaceangenentcirclescurves
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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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