A Remark on a Uniqueness Property of High Multiplicity Tangent Flows in Dimension 3

作者:Bernstein Jacob; Wang Lu*
来源:International Mathematics Research Notices, 2015, 2015(15): 6286-6294.
DOI:10.1093/imrn/rnu124

摘要

In this note, we combine the work of Ilmanen [11] and of Colding et al. [3] to observe a uniqueness property for tangent flows at the first singular time of a smooth mean curvature flow of a closed surface in R-3. Specifically, if, at a fixed singular point, one tangent flow is a positive integer multiple of a shrinking R-2, S-1 x R or S-2, then, modulo rotations, all tangent flows at the point are the same.

  • 出版日期2015