Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents
Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents
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二维几乎最小电流的切锥的独特性
DOI：
10.1002/cpa.21690
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发表时间：
2015
影响因子：
3
通讯作者：
L. Spolaor
中科院分区：
文献类型：
--
作者：
Camillo De Lellis;E. Spadaro;L. Spolaor
我们考虑几乎是面积最小的二维整数可整流，并证明它们的切锥处处是唯一的。我们的论证统一了几个相同风格的唯一性定理，这些唯一性定理都是通过对欧几里德空间中面积最小化电流的White原始定理的适当修改而得到的。本文也是半校准二维电流和三维最小面积锥的球形截面的正则程序的第一步。©2017 Wiley期刊公司
We consider two‐dimensional integer rectifiable currents that are almost area minimizing and show that their tangent cones are everywhere unique. Our argument unifies a few uniqueness theorems of the same flavor, which are all obtained by a suitable modification of White's original theorem for area‐minimizing currents in the euclidean space. This note is also the first step in a regularity program for semicalibrated two‐dimensional currents and spherical cross sections of three‐dimensional area‐minimizing cones.© 2017 Wiley Periodicals, Inc.