A partial regularity result for a class of Stationary Yang-Mills Fields in high dimension

A partial regularity result for a class of Stationary Yang-Mills Fields in high dimension
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一类高维静止杨-米尔斯场的部分正则性结果

DOI:
10.4171/rmi/343
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发表时间:
2003
影响因子:
1.2
通讯作者:
T. Rivière
T. Rivière
中科院分区:
数学2区
文献类型:
--
作者:
Y. Meyer;T. Rivière

文献摘要

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我们证明,对于基n大于或等于4的任意维度,满足Borne逼近性质的平稳杨米尔斯场除了具有零(n-4)- Hausdorff测度的基的闭子集之外是正则的。
We prove, for arbitrary dimension of the base n greater than or equal to 4, stationary Yang-Mills Fields satisfying Borne approximability property are regular apart from a closed subset of the base having zero (n-4)- Hausdorff measure.