曲率流的拼挤估计

Squeezing Estimation of Curvature Flow

摘要: 我们通过对平均曲率流的拼挤估计，得到对一般数量曲率流的拼挤估计。对于∂/∂_tX(x,t)=σ_k^1/kn，当k=1时，∂/∂_tX(x,t)=Hn，此时H是平均曲率流；当k=2时，∂/∂_tX(x,t)=R^1/2n，R^1/2是常数量曲率流，本文得到k=2时的拼挤估计。

Abstract: In this paper, we focus on the estimation of the numerical curvature flow and some related problems. By means of the mean curvature flow squeezing estimation, we get the squeezing estimation of the general number of curvature flow squeezing. For ∂/∂_tX(x,t)=σ_k^1/kn, when k=1, ∂/∂_tX(x,t)=Hn, where H is the average curvature flow; When k=2, ∂/∂_tX(x,t)=R^1/2n, R^1/2 is a constant number of curvature flows. In this paper, the squeezing estimate is obtained when k=2.