On Solvable Generalized Calabi-Yau Manifolds
[Sur les variétés de Calabi-Yau généralisées résolubles]
de Bartolomeis, Paolo1 ; Tomassini, Adriano2
1 Università di Firenze Dipartimento di Matematica Applicata G. Sansone Via S. Marta 3 50139 Firenze (Italy)
2 Università di Parma Dipartimento di Matematica Viale G.P. Usberti 53/A 43100 Parma (Italy)
Annales de l'Institut Fourier, Tome 56 (2006) no. 5, pp. 1281-1296.

On donne un exemple d’une variété symplectique compacte (M,κ) de dimension 6  qui n’admet aucune structure Kählerienne, mais qui satisfait la condition de Lefschetz Forte et dont l’algèbre de DeRham est formelle ; de plus, on montre que (M,κ)  peut être dotée d’une structure de Calabi-Yau généralisée spéciale.

We give an example of a compact 6-dimensional non-Kähler symplectic manifold (M,κ) that satisfies the Hard Lefschetz Condition. Moreover, it is showed that (M,κ) is a special generalized Calabi-Yau manifold.

DOI : 10.5802/aif.2213
Classification : 17B30, 53C15, 53D05
Keywords: Symplectic manifolds, Calabi-Yau manifolds
Mot clés : variété de Calabi-Yau, Calabi-Yau manifolds
de Bartolomeis, Paolo 1 ; Tomassini, Adriano 2

1 Università di Firenze Dipartimento di Matematica Applicata G. Sansone Via S. Marta 3 50139 Firenze (Italy)
2 Università di Parma Dipartimento di Matematica Viale G.P. Usberti 53/A 43100 Parma (Italy) 
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     title = {On {Solvable} {Generalized} {Calabi-Yau} {Manifolds}},
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de Bartolomeis, Paolo; Tomassini, Adriano. On Solvable Generalized Calabi-Yau Manifolds. Annales de l'Institut Fourier, Tome 56 (2006) no. 5, pp. 1281-1296. doi : 10.5802/aif.2213. http://archive.numdam.org/articles/10.5802/aif.2213/

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