The length spectrum of the sub-Riemannian three-sphere

DOI10.2140/INVOLVE.2019.12.45zbMath1392.53052arXiv1507.03041OpenAlexW1958671109WikidataQ115231023 ScholiaQ115231023MaRDI QIDQ1639609

Michael VanValkenburgh, David Klapheck

Publication date: 13 June 2018

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03041

zbMATH Keywords

sub-Riemannian geometrythree-sphereclosed sub-Riemannian geodesics

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (2)

The sub-Riemannian length spectrum for screw motions of constant pitch on flat and hyperbolic 3-manifolds ⋮ Length spectra of sub-Riemannian metrics on compact Lie groups

Cites Work

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• Area-stationary surfaces inside the sub-Riemannian three-sphere
• Eigenvalues associated with a closed geodesic
• Abnormal Minimizers
• SubRiemannian Geometry on the Sphere 𝕊³

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