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. In this paper we show that, under a suitable condition, every nonsingular geometric,ow on a manifold which is modeled on the Furstenberg boundary of X ,w hereX is a symmetric space of non-compact type, induces a torus action, and, in particular, if the manifold is a rational homology sphere, then the,ow has a closed orbit.

Geometric flow and rigidity on symmetric spaces of noncompact type