Torus actions on rationally elliptic manifolds

An upper bound is obtained on the rank of a torus which can act smoothly and effectively on a smooth, closed (simply connected) rationally elliptic manifold. In the maximal-rank case, the manifolds admitting such actions are classified up to equivariant rational homotopy equivalence.

Automated summary

An upper bound has been obtained for the rank of a Torus acting on a smooth, closed (simply connected) rationally elliptic manifold. In the case of maximal rank, the manifolds admitting such actions are classified up to equivariant rational homotopy equivalence.