Classification of ancient flows by sub-a˙ine-critical powers of curvature in R2
收藏中国科学院兰州化学物理研究所科学数据中心2025-12-19 更新2026-01-10 收录
下载链接：
https://ggjsfwdata.licp.cn/dataDetails/0dcdcce48f954facb8d32263b69c4e4b
下载链接
链接失效反馈官方服务：
资源简介：
We classify closed convex ancient α-curve shortening flows
for sub-a˙ine-critical powers α ≤ 1
3 . In addition, we show
that closed convex smooth finite entropy ancient α-curve
shortening flows with α > 1
3 are shrinking circles. After
rescaling, the ancient flows satisfying the above conditions
converge exponentially fast to smooth closed convex shrinkers
as the time goes to negative infinity. In particular, when
α = 1
k2−1 with 3 ≤ k ∈ N, the round circle shrinker has
non-trivial Jacobi fields, but the ancient flows asymptotic to
shrinking circles do not evolve along the Jacobi fields.
提供机构：
中国科学院兰州化学物理研究所科学数据中心
创建时间：
2025-12-19
