Area Rigidity for the Regular Representation of Surface Groups

Riccardo Caniato, Xingzhe Li, Antoine Song

Let $\tilde{\hat{I}}\pounds$ be the universal cover of a closed surface $\hat{I}\pounds$ of genus at least $2$. We characterize all equivariantly area-minimizing maps from $\tilde{\hat{I}}\pounds$ to a Hilbert sphere, wh…