Great circle fibrations and contact structures on odd-dimensional spheres

DOI10.1007/s10711-023-00830-xzbMath1525.53036arXiv1901.06370OpenAlexW2909193352MaRDI QIDQ6077286

Jingye Yang, Herman Gluck

Publication date: 17 October 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06370

zbMATH Keywords

contact structuresgreat circle fibrations

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Other geometric structures on 3-manifolds (57K35)

Related Items (1)

Geodesic and conformally Reeb vector fields on flat 3-manifolds

Cites Work

• Some global properties of contact structures
• Division algebras, fibrations of spheres by great spheres and the topological determination of space by the gross behavior of its geodesics
• Great circle fibrations of the three-sphere
• Contact 3-manifolds twenty years since J. Martinet's work
• Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
• Germs of fibrations of spheres by great circles always extend to the whole sphere
• Great circle fibrations and contact structures on the 3-sphere
• Zur Riemannschen Geometrie in Grassmannschen Mannigfaltigkeiten
• The Blaschke conjecture and great circle fibrations of spheres
• An Introduction to Contact Topology
• DIFFERENTIAL GEOMETRY OF GRASSMANN MANIFOLDS
• Über die Abbildungen von Sphären auf Sphäre niedrigerer Dimension
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Great circle fibrations and contact structures on odd-dimensional spheres