Sub-Riemannian geodesics on the three-dimensional solvable non-nilpotent Lie group \(\mathrm{SOLV}^-\)

DOI10.1007/s10883-012-9145-4zbMath1260.53064arXiv1108.4097OpenAlexW2085371194WikidataQ115383701 ScholiaQ115383701MaRDI QIDQ695348

A. D. Mazhitova

Publication date: 21 December 2012

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4097

zbMATH Keywords

Lie groupssub-Riemannian geometryleft-invariant structures

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Sub-Riemannian geometry (53C17)

Related Items (3)

On sub-Riemannian and Riemannian structures on the Heisenberg groups ⋮ The normal sub-Riemannian geodesic flow on E(2) generated by a left-invariant metric and a right-invariant distribution ⋮ Superintegrability of left-invariant sub-Riemannian structures on unimodular three-dimensional Lie groups

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• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces
• SubRiemannian Geometry on the Sphere 𝕊³

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