Conformal great circle flows on the 3-sphere

DOI10.1090/proc/12819zbMath1346.53070arXiv1308.6591OpenAlexW1776518000MaRDI QIDQ2790279

Adam Harris, Gabriel P. Paternain

Publication date: 3 March 2016

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

Full work available at URL: https://arxiv.org/abs/1308.6591

zbMATH Keywords

geodesic flowHopf fibration

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Geodesic flows in symplectic geometry and contact geometry (53D25) Pseudoholomorphic curves (32Q65)

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The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds ⋮ Killing vector fields on Riemannian and Lorentzian 3‐manifolds ⋮ Ricci-positive geodesic flows and point-completion of static monopole fields ⋮ Tangent ray foliations and their associated outer billiards ⋮ A curvature inequality characterizing totally geodesic null hypersurfaces ⋮ Kähler metrics via Lorentzian geometry in dimension four ⋮ Symplectic 4-manifolds via Lorentzian geometry ⋮ The Newman-Penrose formalism for Riemannian 3-manifolds

Cites Work

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• Dynamically convex Finsler metrics and \(J\)-holomorphic embedding of asymptotic cylinders
• Great circle fibrations of the three-sphere
• The Radon transform on Zoll surfaces
• Geodesic flows
• The Newman-Penrose formalism for Riemannian 3-manifolds
• An Introduction to Contact Topology
• Branch structure of 𝐽–holomorphic curves near periodic orbits of a contact manifold
• DIFFERENTIAL GEOMETRY OF GRASSMANN MANIFOLDS
• Volume-preserving great circle flows on the 3-sphere

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