Second Order Rectifiability of Integral Varifolds of Locally Bounded First Variation

Second Order Rectifiability of Integral Varifolds of Locally Bounded First Variation
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局部有界一阶变分积分变分的二阶可修正性

DOI:
10.1007/s12220-011-9261-5
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发表时间:
2008
影响因子:
1.1
通讯作者:
Ulrich Menne
Ulrich Menne
中科院分区:
数学2区
文献类型:
--
作者:
Ulrich Menne

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它表明,每一个积分varifold在一个开放的子集的欧氏空间,其第一个变化方面的面积是表示的积分可以覆盖一个可数收集的子流形的相同维度的类2和他们的平均曲率同意几乎处处变分定义的广义平均曲率的varifold。
It is shown that every integral varifold in an open subset of Euclidean space whose first variation with respect to area is representable by integration can be covered by a countable collection of submanifolds of the same dimension of class 2 and that their mean curvature agrees almost everywhere with the variationally defined generalized mean curvature of the varifold.
积分 Varifold 的二次倾斜过度的衰减估计
DOI: 10.1007/s00205-011-0468-1
发表时间: 2012
影响因子: 2.5
作者:
通讯作者: --