On algebraic selfsimilar solutions of the mean curvature flow

Knut Smoczyk

doi:10.1524/anly.2011.0941

Published by Oldenbourg Wissenschaftsverlag January 18, 2011

On algebraic selfsimilar solutions of the mean curvature flow

Knut Smoczyk

From the journal Analysis

https://doi.org/10.1524/anly.2011.0941

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Abstract

In this short note we show that in codimension one all homogeneous algebraic selfsimilar solutions of the mean curvature flow are either algebraic minimal hypersurfaces or belong to the class of well known self-shrinking quadrics.

Keywords: mean curvature flow; selfsimilar solution; self-shrinker; algebraic; homogeneous

^* Correspondence address: Leibniz Universität Hannover, Institut für Differentialgeometrie, Welfengarten 1, 30167 Hannover, Deutschland, smoczyk@math.uni-hannover.de

Published Online: 2011-01-18

Published in Print: 2011-01-01

On algebraic selfsimilar solutions of the mean curvature flow

Abstract

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