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A stable self-shrinking Möbius bundle in $\mathbb R^4$

Braxton, Kahnrad et al.
arXiv (All) · Papers
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differential-geometry
We prove the linear stability of an embedded mean curvature flow shrinker in $\mathbb R^4$ with the topology of the Möbius bundle. This provides a non-flat, non-spherical stable shrinker in higher codimension, in sharp contrast with the classification of stable hypersurface shrinkers. Topologically,
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