Branched Covers and Contact Structures

DOI10.2307/2046007zbMath0629.53035OpenAlexW4243339721MaRDI QIDQ3766447

Jesús Gonzalo Pérez

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046007

zbMATH Keywords

contact structure3-manifold

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (14)

Contact geometry and complex surfaces ⋮ Symplectic hats ⋮ A survey of Riemannian contact geometry ⋮ On Stiefel's parallelizability of 3-manifolds ⋮ An Application of Convex Integration to Contact Geometry ⋮ Generalized Finsler structures on closed 3-manifolds ⋮ Contact Forms in Geometry and Topology ⋮ Brieskorn manifolds as contact branched covers of spheres ⋮ A brief history of contact geometry and topology. ⋮ Plane fields related to vector fields on 3-manifolds ⋮ Volume-preserving fields and Reeb fields on 3-manifolds ⋮ Non-simplicity of isocontact embeddings in all higher dimensions ⋮ The existence of a universal transverse knot ⋮ Torsion and homogeneity on contact metric three-manifolds

Cites Work

• A representation of orientable combinatorial 3-manifolds
• Structures de contact sur les fibrés principaux en cercles de dimension trois
• Closed oriented 3-manifolds as 3-fold branched coverings of \(S^3\) of special type
• Modifications and Cobounding Manifolds
• On the Existence of Contact Forms
• The geometry of $G$-structures
• Manifolds as open books
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