Equivariant harmonic maps depend real analytically on the representation
Differential Geometry
2020-07-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2007.14291,
title = {Equivariant harmonic maps depend real analytically on the representation},
author = {Ivo Slegers},
journal= {arXiv preprint arXiv:2007.14291},
year = {2020}
}
Comments
16 pages