  In this work, it is shown that a simply-connected, rationally-elliptic torus
orbifold is equivariantly rationally homotopy equivalent to the quotient of a
product of spheres by an almost-free, linear torus action, where this torus has
rank equal to the number of odd-dimensional spherical factors in the product.
As an application, simply-connected, rationally-elliptic manifolds admitting
slice-maximal torus actions are classified up to equivariant rational homotopy.
The case where the rational-ellipticity hypothesis is replaced by non-negative
curvature is also discussed, and the Bott Conjecture in the presence of a
slice-maximal torus action is proved.
