Contact structures induced by skew fibrations of R3

DOI10.1112/blms.12284zbMath1429.57024arXiv1904.00405OpenAlexW3101305430MaRDI QIDQ5205449

Michael Harrison

Publication date: 11 December 2019

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00405

zbMATH Keywords

contact structuresgreat circle fibrationHopf's fibrationskew fibrationtight, overtwisted contact structures

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Foliations (differential geometric aspects) (53C12) Topology of vector bundles and fiber bundles (57R22) (G)-structures (53C10)

Related Items (8)

Coupled embeddability ⋮ Skew and sphere fibrations ⋮ Geodesic and conformally Reeb vector fields on flat 3-manifolds ⋮ Tangent ray foliations and their associated outer billiards ⋮ Spaces of embeddings: Nonsingular bilinear maps, chirality, and their generalizations ⋮ Fibrations of \(\mathbb{R}^3\) by oriented lines ⋮ The contact structure induced by a line fibration of R3 is standard ⋮ Great circle fibrations and contact structures on the 3-sphere

Cites Work

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• Tightness in contact metric 3-manifolds
• Fiberwise homogeneous geodesic foliations of hyperbolic and Euclidean 3-spaces
• Skew flat fibrations
• Great circle fibrations of the three-sphere
• Global smooth fibrations of ℝ³ by oriented lines
• On fibrations with flat fibres
• An Indefinite Kähler Metric on the Space of Oriented Lines
• Vector fields on spheres

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