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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
Published Online: 2011-01-18
Published in Print: 2011-01-01
© by Oldenbourg Wissenschaftsverlag, Hannover, Germany