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  Equivariant harmonic maps depend real analytically on the representation

Slegers, I. (2022). Equivariant harmonic maps depend real analytically on the representation. Manuscripta mathematica, 169(3-4), 633-648. doi:10.1007/s00229-021-01345-z.

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Slegers_Equivariant harmonic maps depend real analytically on the representation_2022.pdf (Publisher version), 290KB
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2007.14291.pdf (Preprint), 187KB
 
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 Creators:
Slegers, Ivo1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Differential Geometry
 Abstract: We consider harmonic maps into symmetric spaces of non-compact type that are equivariant for representations that induce a free and proper action on the symmetric space. We show that under suitable non-degeneracy conditions such equivariant harmonic maps 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 [4] can be applied.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 16
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2007.14291
DOI: 10.1007/s00229-021-01345-z
 Degree: -

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Title: Manuscripta mathematica
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 169 (3-4) Sequence Number: - Start / End Page: 633 - 648 Identifier: -