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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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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.
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Dates and versions

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

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  • HAL Id : hal-00870082 , version 1

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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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