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Equivariant harmonic maps depend real analytically on the representation

Equivariant harmonic maps depend real analytically on the representation

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 …