We investigate the existence of symplectic non-Kählerian structures on compact solvmanifolds and prove some results which give strong necessary conditions for the existence of Kählerian structures in terms of rational homotopy theory. Our results explain known examples and generalize the Benson-Gordon theorem (Benson and Gordon (1990); our method allows us to drop the assumption of the complete solvability of G).
@article{urn:eudml:doc:44238,
title = {Rational models of solvmanifolds with K\"ahlerian structures.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {10},
year = {1997},
pages = {157-176},
zbl = {0882.53025},
mrnumber = {MR1452569},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44238}
}
Tralle, A. Rational models of solvmanifolds with Kählerian structures.. Revista Matemática de la Universidad Complutense de Madrid, Tome 10 (1997) pp. 157-176. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44238/