几何分析讨论班—Uniqueness of closed self-similar solutions to $sigma^alpha_k$-curvature flow
主 题: 几何分析讨论班—Uniqueness of closed self-similar solutions to $sigma^alpha_k$-curvature flow
报告人: 李海中 教授 (清华大学)
时 间: 2017-04-11 09:00 - 10:00
地 点: 理科1号楼1303
In recent two papers, Choi-Daskaspoulos and Brendle-Choi-Daskaspoulos have proved that any n-dimensional strictly convex closed self-similar solutions to
σ^α_k-curvature flow in R^{n+1} with α≥1/(n+2), must be an ellipsoid or round sphere. By adapting their test functions and exploring properties of the k-th elementary symmetric functions σk intensively, we show that for any fixed k with 1 ≤ k ≤ n-1, any strictly convex closed
self-similar solutions to-curvature ow in Rn+1 must be a round sphere. This is joint work with Hui Ma and Shanze Gao.
