论文标题

从表面的谐波图的广义分析

Generalized neck analysis of harmonic maps from surfaces

论文作者

Yin, Hao

论文摘要

在本文中,我们研究了一系列谐波图的行为,这些谐波图是在广义颈部结构域上均匀界定能量的表面的。广义颈部域是幽灵气泡和环形颈部域的结合,它连接了非平凡气泡。证明了能量密度的上限,我们使用它来研究序列的无效和索引的极限。

In this paper, we study the behavior of a sequence of harmonic maps from surfaces with uniformly bounded energy on the generalized neck domain. The generalized neck domain is a union of ghost bubbles and annular neck domains, which connects non-trivial bubbles. An upper bound of the energy density is proved and we use it to study the limit of the nullity and index of the sequence.

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