The inverse mean curvature flow perpendicular to the sphere

The inverse mean curvature flow perpendicular to the sphere
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DOI:
10.1007/s00208-015-1248-2
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发表时间:
2014-10
影响因子:
1.4
通讯作者:
Ben Lambert;Julian Scheuer
Ben Lambert;Julian Scheuer
中科院分区:
数学2区
文献类型:
--
作者:
Ben Lambert;Julian Scheuer

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研究了边界嵌入严格凸超曲面的光滑反平均曲率流,其中边界从内部垂直于单位球面。我们证明了流超曲面在范数下收敛于平面圆盘的嵌入。
We consider the smooth inverse mean curvature flow of strictly convex hypersurfaces with boundary embedded inwhich are perpendicular to the unit sphere from the inside. We prove that the flow hypersurfaces converge to the embedding of a flat disk in the norm of.