Sub-Riemannian geometry of parallelizable spheres

DOI10.4171/RMI/661zbMath1228.53043arXiv0901.1406WikidataQ115211871 ScholiaQ115211871MaRDI QIDQ643335

Irina Markina, Mauricio Godoy Molina

Publication date: 28 October 2011

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1406

zbMATH Keywords

quaternionssub-Riemannian geometryoctonionsHopf bundleparallelizable spheres

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) General properties and structure of real Lie groups (22E15) Sub-Riemannian geometry (53C17) CR manifolds (32V99)

Related Items (7)

Sub-Riemannian geodesics and heat operator on odd dimensional spheres ⋮ A codimension 3 sub-Riemannian structure on the Gromoll-Meyer exotic sphere ⋮ Trivializable sub-Riemannian structures on spheres ⋮ Trivializable and quaternionic subriemannian structures on \({\mathbb{S}}^7\) and subelliptic heat kernel ⋮ Connections in sub-Riemannian geometry of parallelizable distributions ⋮ Hopf fibration: Geodesics and distances ⋮ Octonionic Brownian windings

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