The Refined Analysis on the Convergence Behavior of Harmonic Map Sequence from Cylinders

被引：0
作者：
Li Chen
Yuxiang Li
Youde Wang
机构：
[1] Chinese Academy of Sciences,Academy of Mathematics and Systematic Sciences
[2] Tsinghua University,The Department of Mathematical Sciences
来源：
Journal of Geometric Analysis | 2012年 / 22卷
关键词：
Harmonic map; Blow up; Geodesic; 58E20; 35J35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we are concerned with the convergence behavior of a sequence of harmonic maps from long cylinders with uniformly bounded energy. If the bubbling phenomenon does not occur, we give the length formula of the limit map (i.e., geodesic in the target manifold). Furthermore, we provide a geometric explanation of the energy identity for a sequence of harmonic maps from degenerating Riemann surfaces with uniformly bounded energy, proved by M. Zhu.
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页码：942 / 963
页数：21
相关论文
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