We consider a parametrized family of compact G 2 -calibrated solvmanifolds, and construct associative (so volume-minimizing submanifolds) 3-tori with respect to the closed G 2 -structure. We also study the Laplacian flow of this closed G 2 form on the solvable Lie group underlying to each of these solvmanifolds, and show long time existence of the solution.
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