The geometry of symplectic pairs

DOI10.1090/S0002-9947-05-03808-0zbMath1088.53017arXivmath/0407441MaRDI QIDQ5714400

Gianluca Bande, Dieter Kotschick

Publication date: 2 January 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407441

zbMATH Keywords

foliationcontact-symplecticfour-dimensional Thurston geometriesGompf sumleafwise symplectic form

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Pfaffian systems (58A17) Global theory of symplectic and contact manifolds (53D35) Foliations (differential geometric aspects) (53C12) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Foliations in differential topology; geometric theory (57R30)

Related Items (18)

Four-Dimensional Homogeneous Generalizations of Einstein Metrics ⋮ Vector fields for contact pairs ⋮ Taut contact circles and bi-contact metric structures on three-manifolds ⋮ Flat structures on surface bundles ⋮ On the curvature of metric contact pairs ⋮ The geometry of recursion operators ⋮ Local rigidity and nonrigidity of symplectic pairs ⋮ Smoothness of isotopy for symplectic pairs ⋮ Taut contact hyperbolas on three-manifolds ⋮ Sums of recursion operators ⋮ Almost complex structures for symplectic pairs ⋮ ON NORMAL CONTACT PAIRS ⋮ Conformally Einstein and Bach-flat four-dimensional homogeneous manifolds ⋮ Homogeneous conformal \(C\)-spaces in dimension four ⋮ Holomorphic spheres and four-dimensional symplectic pairs ⋮ Contact-pair neighborhood theorem for submanifolds in symplectic pairs ⋮ Local invariants of divergence-free webs ⋮ On neighborhood theorems for symplectic pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symplectic couples on 4-manifolds
• On contact manifolds
• Classification of \(T^ 2-bundles\) over \(T^ 2\)
• Geometric 4-manifolds in the sense of Thurston and Seifert 4-manifolds. I
• Totally geodesic foliations on 4-manifolds
• Geometric structures on compact complex analytic surfaces
• A class of algebraic surfaces of general type constructed from quaternion algebras
• Symplectic structures on \(T^ 2\)-bundles over \(T^ 2\)
• Hyperbolic manifolds are geodesically rigid
• Signatures of foliated surface bundles and the symplectomorphism groups of surfaces
• On products of harmonic forms.
• Infinite generation for rings of symmetric tensors
• A new construction of symplectic manifolds
• Foliations and compact Lie group actions
• Contact pairs
• Orientations and Geometrisations of Compact Complex Surfaces
• Stability theorems for symplectic and contact pairs
• Couples contacto-symplectiques
• On the Volume Elements on a Manifold

This page was built for publication: The geometry of symplectic pairs