Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold
Regularity Theory for 2-Dimensional Almost Minimal Currents II: Branched Center Manifold
复制标题
二维几乎最小电流的正则理论 II：支化中心流形
DOI：
10.1007/s40818-017-0035-7
复制
发表时间：
2015
期刊：
影响因子：
2.8
通讯作者：
E. Spadaro
中科院分区：
文献类型：
--
作者：
Camillo De Lellis;E. Spadaro
我们在二维积分流的奇点邻域中构造了一个分支中心流形，该奇点在适当的意义下几乎是极小的。我们的建设是上半年的一个参数，它显示了以下三类2维电流的奇异集的离散性：面积最小化黎曼流形，半校准和球形截面的3维面积最小化锥。
We construct a branched center manifold in a neighborhood of a singular point of a 2-dimensional integral current which is almost minimizing in a suitable sense. Our construction is the first half of an argument which shows the discreteness of the singular set for the following three classes of 2-dimensional currents: area minimizing in Riemannian manifolds, semicalibrated and spherical cross sections of 3-dimensional area minimizing cones.