Formality and symplectic structures of almost abelian solvmanifolds
Maura Macr\`i
TL;DR
This paper investigates the conditions for formality and methods to find symplectic structures on almost abelian solvmanifolds using minimal models and fibrations, advancing understanding of their geometric properties.
Contribution
It provides a necessary and sufficient condition for formality and introduces a method for identifying symplectic structures on almost abelian solvmanifolds.
Findings
Characterization of formality conditions
Method for constructing symplectic structures
Application of minimal models to solvmanifolds
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometry and complex manifolds · Geometric Analysis and Curvature Flows