Local rigidity and nonrigidity of symplectic pairs

DOI10.1007/s10455-011-9279-8zbMath1237.53026OpenAlexW1978147094MaRDI QIDQ663446

Eduardo García-Río, M. Elena Vázquez-Abal, Ramón Vázquez-Lorenzo, Esteban Calviño-Louzao

Publication date: 15 February 2012

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-011-9279-8

zbMATH Keywords

almost Kähler structureWalker metricalmost para-Kähler structureopposite Kähler structuressymplectic pair

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (3)

Four-dimensional homogeneous Kähler Ricci solitons ⋮ Harmonicity of vector fields on four-dimensional generalized symmetric spaces ⋮ Geometry of four-dimensional Kähler and para-Kähler Lie groups

Cites Work

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• Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators
• Almost Kähler 4-dimensional Lie groups with \(J\)-invariant Ricci tensor
• The holonomy Lie algebras of neutral metrics in dimension four
• The Geometry of Walker Manifolds
• Curvature Tensors on Almost Hermitian Manifolds
• Geometric properties of generalized symmetric spaces
• The geometry of symplectic pairs
• Generalized symmetric spaces

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