%0 Journal Article
%T Tamed symplectic structures on compact solvmanifolds of completely solvable type
%A Anna Fino
%A Hisashi Kasuya
%J Mathematics
%D 2014
%I arXiv
%X A compact solvmanifold of completely solvable type, i.e. a compact quotient of a completely solvable Lie group by a lattice, has a K\"ahler structure if and only if it is a complex torus. We show more in general that a compact solvmanifold $M$ of completely solvable type endowed with an invariant complex structure $J$ admits a symplectic form taming J if and only if $M$ is a complex torus. This result generalizes the one obtained in [7] for nilmanifolds.
%U http://arxiv.org/abs/1410.3610v2