We are interested in the problem of describing compact solvmanifolds admitting symplectic and Kählerian structures. This was first considered in [3, 4] and [7]. These papers used the Hattori theorem concerning the cohomology of solvmanifolds hence the results obtained covered only the completely solvable case}. Our results do not use the assumption of complete solvability. We apply our methods to construct a new example of a compact symplectic non-Kählerian solvmanifold.
@article{bwmeta1.element.bwnjournal-article-cmv73i2p261bwm,
author = {Aleksy Tralle},
title = {On compact symplectic and K\"ahlerian solvmanifolds which are not completely solvable},
journal = {Colloquium Mathematicae},
volume = {72},
year = {1997},
pages = {261-283},
zbl = {0879.53025},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv73i2p261bwm}
}
Tralle, Aleksy. On compact symplectic and Kählerian solvmanifolds which are not completely solvable. Colloquium Mathematicae, Tome 72 (1997) pp. 261-283. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv73i2p261bwm/
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