论文标题

模棱两可的谐波图在分析上取决于表示形式

Equivariant harmonic maps depend real analytically on the representation

论文作者

Slegers, Ivo

论文摘要

我们证明,在假设合适的非分类条件时,在非紧缩类型的对称空间中,以实际的分析方式取决于它们与之相关的表示。证明的主要工具是构建一个变形图系列,用于将映射映射到固定目标空间中,以便可以应用\ cite {eellslemaire}的实际分析版本。

We prove that when assuming suitable non-degeneracy conditions equivariant harmonic maps into symmetric spaces of non-compact type depend in a real analytic fashion on the representation they are associated to. The main tool in the proof is the construction of a family of deformation maps which are used to transform equivariant harmonic maps into maps mapping into a fixed target space so that a real analytic version of the results in \cite{EellsLemaire} can be applied.

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