We give an example of a compact 6-dimensional non-Kähler symplectic manifold $(M,\kappa )$ that satisfies the Hard Lefschetz Condition. Moreover, it is showed that $(M,\kappa )$ is a special generalized Calabi-Yau manifold.
On Solvable Generalized Calabi-Yau Manifolds / P. DE BARTOLOMEIS; ADRIANO TOMASSINI. - In: ANNALES DE L'INSTITUT FOURIER. - ISSN 0373-0956. - STAMPA. - Tome 56, fascicule 5:(2006), pp. 1281-1296. [10.5802/aif.2213]
On Solvable Generalized Calabi-Yau Manifolds
DE BARTOLOMEIS, PAOLO;
2006
Abstract
We give an example of a compact 6-dimensional non-Kähler symplectic manifold $(M,\kappa )$ that satisfies the Hard Lefschetz Condition. Moreover, it is showed that $(M,\kappa )$ is a special generalized Calabi-Yau manifold.
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