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We discover a bifurcation of the perturbations of non-generic closed self-shrinkers.
Angenent, S.; Ilmanen, T.; Chopp, D. L. A computed example of nonuniqueness of mean curvature flow in R 3 R^{3}
1958
Earlier work this paper cites.
Huisken, Gerhard. Flow by mean curvature of convex surfaces into spheres
1984
Earlier work this paper cites.
Abresch, U.; Langer, J. The normalized curve shortening flow and homothetic solutions
1986
Earlier work this paper cites.
Epstein, C. L.; Weinstein, M. I. A stable manifold theorem for the curve shortening equation
1987
Earlier work this paper cites.
Huisken, Gerhard. Asymptotic behavior for singularities of the mean curvature flow
1990
Earlier work this paper cites.
Angenent, Sigurd B. Shrinking doughnuts
1992
Earlier work this paper cites.
White, Brian. Partial regularity of mean-convex hypersurfaces flowing by mean curvature
1994
Earlier work this paper cites.
Huisken, Gerhard; Sinestrari, Carlo. Mean curvature flow singularities for mean convex surfaces
1999
Earlier work this paper cites.
Huisken, Gerhard; Sinestrari, Carlo. Convexity estimates for mean curvature flow and singularities of mean convex surfaces
1999
Earlier work this paper cites.
White, Brian. The size of the singular set in mean curvature flow of mean-convex sets
2000
Earlier work this paper cites.
Hatcher, Allen. Algebraic topology
2002
Earlier work this paper cites.
White, Brian. The nature of singularities in mean curvature flow of mean-convex sets
2003
Cited alongside, same era.
Sullivan, Dennis René Thom’s work on geometric homology and bordism
2004
Cited alongside, same era.
Zhu, Jonathan J. On the entropy of closed hypersurfaces and singular self-shrinkers
2004
Cited alongside, same era.
White, Brian. A local regularity theorem for mean curvature flow
2005
Cited alongside, same era.
Sheng, Weimin; Wang, Xu-Jia. Singularity profile in the mean curvature flow
2009
Cited alongside, same era.
Au, Thomas Kwok-Keung. On the saddle point property of Abresch-Langer curves under the curve shortening flow
2010
Colding, Tobias Holck; Minicozzi, William P., II Uniqueness of blowups and Łojasiewicz inequalities
2015
Later among the works it cites.
Bernstein, Jacob; Wang, Lu. A sharp lower bound for the entropy of closed hypersurfaces up to dimension six
2016
Later among the works it cites.
Brendle, Simon. Embedded self-similar shrinkers of genus 0 0
2016
Later among the works it cites.
Brendle, Simon; Huisken, Gerhard. Mean curvature flow with surgery of mean convex surfaces in R 3 R^{3}
2016
Later among the works it cites.
Robert, Haslhofer; Bruce, Kleiner. Mean curvature flow of mean convex hypersurfaces
2017
Later among the works it cites.
Haslhofer, Robert; Kleiner, Bruce. Mean curvature flow with surgery
2017
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Mantegazza, Carlo. Lecture notes on mean curvature flow
2011
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Andrews, Ben. Noncollapsing in mean-convex mean curvature flow
2012
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Colding, Tobias H.; Minicozzi, William P., II. Generic mean curvature flow I: generic singularities
2012
Cited alongside, same era.
Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P., II; White, Brian. The round sphere minimizes entropy among closed self-shrinkers
2013
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Brendle, Simon; Huisken, Gerhard. Mean curvature flow with surgery of mean convex surfaces in three-manifolds
2018
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Kapouleas, Nikolaos; Kleene, Stephen James; Møller, Niels. Martin Mean curvature self-shrinkers of high genus: non-compact examples
2018
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Hershkovits, Or; White, Brian. Sharp entropy bounds for self-shrinkers in mean curvature flow
2019
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Nguyen, Xuan Hien. Construction of complete embedded self-similar surfaces under mean curvature flow, Part III
2056
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