ArticleOriginal scientific text
Title
On compact symplectic and Kählerian solvmanifolds which are not completely solvable
Authors 1
Affiliations
- Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
Abstract
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.
Keywords
Kähler structure, symplectic structure, solvmanifold
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Pages:
261-283
Main language of publication
English
Received
1995-06-07
Accepted
1996-10-02
Published
1997
Exact and natural sciences