Uniqueness of equivariant harmonic maps to symmetric spaces and buildings

TL;DR

This paper proves the uniqueness of equivariant harmonic maps into certain symmetric spaces and Euclidean buildings, focusing on actions by Zariski dense subgroups, advancing understanding in geometric analysis and group actions.

Contribution

It establishes the uniqueness of equivariant harmonic maps into irreducible symmetric spaces and Euclidean buildings for Zariski dense group actions, a novel result in the field.

Findings

Uniqueness of equivariant harmonic maps proven for symmetric spaces.

Uniqueness established for Euclidean buildings.

Results apply to Zariski dense subgroup actions.

Abstract

We prove uniqueness of equivariant harmonic maps into irreducible symmetric spaces of non-compact type and Euclidean buildings associated to isometric actions by Zariski dense subgroups.