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On algebraic selfsimilar solutions of the mean curvature flow
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Knut Smoczyk
Published/Copyright:
January 18, 2011
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.
Published Online: 2011-01-18
Published in Print: 2011-01-01
© by Oldenbourg Wissenschaftsverlag, Hannover, Germany
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- Some counterexamples for your calculus course
- Boundedness of some pseudo-differential operators on generalized Triebel–Lizorkin spaces
- Some topics related to universality of L-functions with an Euler product
- On the corkscrew condition for minimal sets
- Entire functions sharing values with their derivatives
- Expressions for two generalized Furdui series
- Differential polynomials which share a value with their derivative
- Toeplitz matrices, ergodicity and Fréchet spaces
- On algebraic selfsimilar solutions of the mean curvature flow
Keywords for this article
mean curvature flow;
selfsimilar solution;
self-shrinker;
algebraic;
homogeneous
Articles in the same Issue
- Original Papers
- Some counterexamples for your calculus course
- Boundedness of some pseudo-differential operators on generalized Triebel–Lizorkin spaces
- Some topics related to universality of L-functions with an Euler product
- On the corkscrew condition for minimal sets
- Entire functions sharing values with their derivatives
- Expressions for two generalized Furdui series
- Differential polynomials which share a value with their derivative
- Toeplitz matrices, ergodicity and Fréchet spaces
- On algebraic selfsimilar solutions of the mean curvature flow
