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We give a short proof of the (known) result that there are no Kaehlerstructures on exotic tori. This yields a negative solution to a problem posedby Benson and Gordon. W discuss the symplectic version of the problem andanalyze results which yield an evidence for the conjecture that there are nosymplectic structures on exotic tori.Comment: AMSLaTeX, 16 pages, a new version. A survey of the symplectic version  of the problem is adde

Exotic smooth structures and symplectic forms on closed manifolds