Abelian simply transitive affine groups of symplectic type

DOI10.5802/aif.1932zbMath1012.22013arXivmath/0105025OpenAlexW2691081775MaRDI QIDQ1864233

Oliver Baues, Vicente Cortés

Publication date: 17 March 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105025

zbMATH Keywords

affine transformationaffine groups of symplectic typeflat symplectic connectionsspecial Kaehler manifolds

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (6)

Left invariant special Kähler structures ⋮ S-duality and the universal isometries of q-map spaces ⋮ Flat nearly Kähler manifolds ⋮ A note on \(tt^{*}\)-bundles over compact nearly Kähler manifolds ⋮ Construction of projective special Kähler manifolds ⋮ Geometric construction of the \(r\)-map: From affine special real to special Kähler manifolds

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• Affine spheres with constant affine sectional curvature
• Realisation of special Kähler manifolds as parabolic spheres
• Simply Transitive Groups of Affine Motions
• On the number of abelian left symmetric algebras

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