On compact symplectic and Kählerian solvmanifolds which are not completely solvable
Colloquium Mathematicum, Tome 73 (1997) no. 2, pp. 261-283
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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.
Aleksy Tralle. On compact symplectic and Kählerian solvmanifolds which are not completely solvable. Colloquium Mathematicum, Tome 73 (1997) no. 2, pp. 261-283. doi: 10.4064/cm-73-2-261-283
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author = {Aleksy Tralle},
title = {On compact symplectic and {K\"ahlerian} solvmanifolds which are not completely solvable},
journal = {Colloquium Mathematicum},
pages = {261--283},
year = {1997},
volume = {73},
number = {2},
doi = {10.4064/cm-73-2-261-283},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-73-2-261-283/}
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