A six dimensional compact symplectic solvmanifold without Kähler structures
Fernandez, Marisa ; De Leon, Manuel ; Saralegi-Aranguren, Martin
HAL, hal-00870082 / Harvested from HAL
Text on HAL
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.
Publié le : 1996-07-05
Classification:  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00870082,
     author = {Fernandez, Marisa and De Leon, Manuel and Saralegi-Aranguren, Martin},
     title = {A six dimensional compact symplectic solvmanifold without K\"ahler structures},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00870082}
}

Fernandez, Marisa; De Leon, Manuel; Saralegi-Aranguren, Martin. A six dimensional compact symplectic solvmanifold without Kähler structures. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00870082/