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Journal Articles Osaka Journal of Mathematics Year : 1996

## A six dimensional compact symplectic solvmanifold without Kähler structures

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Marisa Fernandez
• Function : Author
Manuel de Leon
• Function : Author
Martintxo Saralegi-Aranguren

#### 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.

#### Domains

Mathematics [math] Differential Geometry [math.DG]

### Dates and versions

hal-00870082 , version 1 (07-10-2013)

### Identifiers

• HAL Id : hal-00870082 , version 1

### Cite

Marisa Fernandez, Manuel de Leon, Martintxo Saralegi-Aranguren. A six dimensional compact symplectic solvmanifold without Kähler structures. Osaka Journal of Mathematics, 1996, 33, pp.19-35. ⟨hal-00870082⟩

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