Geodesic
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.
DOI : 10.4064/cm-73-2-261-283
Keywords: Kähler structure, symplectic structure, solvmanifold

Aleksy Tralle 1

1 
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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. http://geodesic.mathdoc.fr/articles/10.4064/cm-73-2-261-283/

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