Affine hypersurfaces of arbitrary signature with an almost symplectic form

DOI10.1007/s00025-023-01838-1OpenAlexW3132145225MaRDI QIDQ2688986

Zuzanna Szancer, Michal Szancer

Publication date: 6 March 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.07149

zbMATH Keywords

symplectic formaffine hypersurfacealmost symplectic structure

Mathematics Subject Classification ID

Almost contact and almost symplectic manifolds (53D15) Affine differential geometry (53A15)

Cites Work

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• On invariants of almost symplectic connections
• On affine hypersurfaces with an almost symplectic structure
• Lorentzian affine hypersurfaces with parallel cubic form
• Locally strongly convex affine hypersurfaces with parallel cubic form
• The classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic form
• Centro-affine hypersurface immersions with parallel cubic form
• Affine hypersurfaces with parallel cubic forms
• Higher order parallel surfaces in Bianchi-Cartan-Vranceanu spaces
• The classification of hypersurfaces of a Euclidean space with parallel higher order fundamental form
• Special Kähler manifolds
• Affine surfaces with higher order parallel cubic form
• Lorentzian affine hypersurfaces with an almost symplectic form
• Realisation of special Kähler manifolds as parabolic spheres
• Hypersurfaces with almost complex structures in the real affine space
• AFFINE HYPERSPHERES ASSOCIATED TO SPECIAL PARA-KÄHLER MANIFOLDS
• 3-dimensional affine hypersurfaces in ℝ⁴ with parallel cubic form
• Affine higher order parallel hypersurfaces
• Affine hypersurfaces with parallel cubic form
• On 4‐dimensional Lorentzian affine hypersurfaces with an almost symplectic form
• On some generalization of special affine hyperspheres

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