Almgren's type regularity for semicalibrated currents
Almgren's type regularity for semicalibrated currents
复制标题
半校准电流的阿尔姆格伦类型正则性
DOI：
10.1016/j.aim.2019.04.057
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发表时间：
2015
影响因子：
1.7
通讯作者：
L. Spolaor
中科院分区：
文献类型：
--
作者：
L. Spolaor
类似于一般维数和余维数积分面积最小化流的Almgren定理，我们证明了（n <$+ m）维C3，ε 0流形中的m维半校准积分流，被C2，ε 0 m-形式半校准后，具有Hausdorff维数至多为m− 2的奇异集.
In analogy with Almgren's Theorem for integral area minimizing currents of general dimension and codimension, we prove that an m-dimensional semicalibrated integral current in a (n¯+ m)-dimensional C 3, ε 0 manifold, semicalibrated by a C 2, ε 0 m-form, has singular set of Hausdorff dimension at most m− 2.