ON THE PLURICLOSED FLOW ON OELJEKLAUS-TOMA MANIFOLDS

. We investigate the pluriclosed flow on Oeljeklaus-Toma manifolds. We parametrize left- invariant pluriclosed metrics on Oeljeklaus-Toma manifolds and we classify the ones which lift to an algebraic soliton of the pluriclosed flow on the universal covering. We further show that the pluriclosed flow starting from a left-invariant pluriclosed metric has a long-time solution ω t which once normalized collapses to a torus in the Gromov-Hausdorff sense. Moreover the lift of 11+ t ω t to the universal covering of the manifold converges in the Cheeger-Gromov sense to ( H s × C s , ˜ ω ∞ ) where ˜ ω ∞ is an algebraic soliton.