The normal sub-Riemannian geodesic flow on E(2) generated by a left-invariant metric and a right-invariant distribution

DOI10.1134/S0037446614050127zbMath1319.53026OpenAlexW2080514094WikidataQ115248490 ScholiaQ115248490MaRDI QIDQ486374

A. D. Mazhitova

Publication date: 15 January 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446614050127

zbMATH Keywords

Hamiltonianelliptic functionssub-Riemannian geometrynormal geodesicsleft-invariant metricright-invariant distribution

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesic flows in symplectic geometry and contact geometry (53D25) Sub-Riemannian geometry (53C17)

Related Items (1)

On a certain sub-Riemannian geodesic flow on the Heisenberg group

Cites Work

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• The geodesic flow of a sub-Riemannian metric on a solvable Lie group
• Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces
• SubRiemannian Geometry on the Sphere 𝕊³

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