Mean curvature flow with surgeries of two–convex hypersurfaces

Mean curvature flow with surgeries of two–convex hypersurfaces
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DOI:
10.1007/s00222-008-0148-4
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发表时间:
2009
影响因子:
3.1
通讯作者:
G. Huisken;C. Sinestrari
G. Huisken;C. Sinestrari
中科院分区:
数学1区
文献类型:
--
作者:
G. Huisken;C. Sinestrari

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设F0:M→ Rn+ 1是欧氏空间中n维超曲面的光滑浸入,n≥ 2. M0= F0(M)的平均曲率流演化是单参数光滑浸入族F:M×[0,T [→ Rn+ 1]满足
Let F0: M→ Rn+ 1 be a smooth immersion of an n–dimensional hypersurface in Euclidean space, n≥ 2. The evolution of M0= F0 (M) by mean curvature flow is the one–parameter family of smooth immersions F: M×[0, T [→ Rn+ 1 satisfying