Abstract : The purpose of this paper is to construct a compact symplectic (non-nilpotent) solvmanifold $M^{6} = \Gamma / G$ of dimension $6$ which does not admit Kähler structures. We show that the minimal model of $M^{6}$ is not formal by proving that there are non-trivial (quadruple) Massey products, however we remark that all the (triple) Massey products of $M^{6}$ vanish.
Type de document :
Article dans une revue
Osaka Journal of Mathematics, Osaka University, 1996, 33, pp.19-35
https://hal-univ-artois.archives-ouvertes.fr/hal-00870082
Contributeur : Martintxo Saralegi-Aranguren
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Soumis le : lundi 7 octobre 2013 - 09:30:55
Dernière modification le : mardi 8 octobre 2013 - 14:12:40
Document(s) archivé(s) le : mercredi 8 janvier 2014 - 04:17:37
Marisa Fernandez, Manuel De Leon, Martin Saralegi-Aranguren. A six dimensional compact symplectic solvmanifold without Kähler structures. Osaka Journal of Mathematics, Osaka University, 1996, 33, pp.19-35. 〈hal-00870082〉
