Uniqueness of asymptotically conical tangent flows
نویسندگان
چکیده
Singularities of the mean curvature flow an embedded surface in R^3 are expected to be modelled on self-shrinkers that compact, cylindrical, or asymptotically conical. In order understand before and after singular time, it is crucial know uniqueness tangent flows at singularity. all dimensions, assuming singularity multiplicity one, compact case has been established by second-named author, cylindrical Colding-Minicozzi. We show here multiplicity-one conical for hypersurfaces. particular, this implies when a model, evolving time (isolated) regular point. This should lead complete understanding how "flow through" such
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2021
ISSN: ['1547-7398', '0012-7094']
DOI: https://doi.org/10.1215/00127094-2020-0098