Regularity of minimizing harmonic maps intoS4,S5 and symmetric spaces
Regularity of minimizing harmonic maps intoS4,S5 and symmetric spaces
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最小调和映射到S4、S5和对称空间的规律
DOI：
10.1007/bf01459734
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发表时间：
1994
影响因子：
1.4
通讯作者：
T. Okayasu
中科院分区：
文献类型：
--
作者：
T. Okayasu
1990年，Schoen和Uhlenbeck构造了一个美妙的正则性理论来最小化调和映射。他们证明了最小调和映射的奇异点集至少具有3余维数，并导出了一个有用的判据来证明映射到特定目标流形的奇异集更小。在b[15]中，他们把这个判据应用到单位球sk上，得到了下面的定理。
In [14] Schoen and Uhlenbeck constructed a beautiful regularity theory for minimizing harmonic maps. They proved that the set of singular points of a minimizing harmonic map has Hausdorff codimension at least three, and also derived a useful criterion to show that the singular set is smaller for maps into certain target manifolds. In [15] they applied this criterion to the unit sphere S k and get the following theorem.