The geometry of recursion operators

DOI10.1007/s00220-008-0477-6zbMath1142.53059arXivmath/0703348OpenAlexW2079694244MaRDI QIDQ930520

Gianluca Bande, Dieter Kotschick

Publication date: 30 June 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703348

zbMATH Keywords

hyper-Kähler geometryholomorphic symplectic structureshypersymplectic structureintertwining endomorphisms

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (12)

Vector fields for contact pairs ⋮ Fifteen years of contact circles and contact spheres ⋮ Taut contact circles and bi-contact metric structures on three-manifolds ⋮ Cosymplectic \(p\)-spheres ⋮ Recursion Operators for KP, mKP and Harry Dym Hierarchies ⋮ Local rigidity and nonrigidity of symplectic pairs ⋮ Symmetric and skew-symmetric complex structures ⋮ Sums of recursion operators ⋮ Almost complex structures for symplectic pairs ⋮ The nondegenerate generalized Kähler Calabi-Yau problem ⋮ Contact-pair neighborhood theorem for submanifolds in symplectic pairs ⋮ On neighborhood theorems for symplectic pairs

Cites Work

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• Symplectic couples on 4-manifolds
• Double products and hypersymplectic structures on \(\mathbb R^{4n}\)
• Geometric structures on compact complex analytic surfaces
• Kähler and symplectic structures on nilmanifolds
• Simultaneous local classification of two compatible symplectic forms
• Actions for \((2,1)\) sigma models and strings
• Neutral Calabi-Yau structures on Kodaira manifolds
• Examples of compact holomorphic symplectic manifolds which are not Kählerian. II
• Abelian hypercomplex 8-dimensional nilmanifolds
• KLEINIAN GEOMETRY AND THE N = 2 SUPERSTRING
• The Self-Duality Equations on a Riemann Surface
• Orientations and Geometrisations of Compact Complex Surfaces
• Stability theorems for symplectic and contact pairs
• On Guan's examples of simply connected non-Kahler compact complex manifolds
• On the Volume Elements on a Manifold
• The geometry of symplectic pairs

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