Smooth and analytic actions of $SL(n,\mathbf{R})$ and $SL(n,\mathbf{Z})$ on closed $n$-dimensional manifolds

David Fisher, Karin Melnick

The main result is a classification of smooth actions of $SL(n,\mathbf{R})$, $n\ge 3$, or connected groups locally isomorphic to it, on closed $n$-manifolds, extending a theorem of…