Formality and symplectic structures of almost abelian solvmanifolds

2013/02/04 by Maura Macrì, Macrì, Maura
Mathematics · #22E25 #53C30 #55P62 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1302.0762

openalex publication_date 2013/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study some properties of almost abelian solvmanifolds using minimal models associated to a fibration. In particular we state a necessary and sufficient condition to formality and a method for finding symplectic strucures of this kind of solvmanifolds.

Citations

• On the Cohomology of Compact Homogeneous Spaces of Nilpotent Lie Groups

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