The geodesics of a sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane

DOI10.1134/S003744661901018XzbMath1441.53027OpenAlexW2938337334WikidataQ115248389 ScholiaQ115248389MaRDI QIDQ2002493

M. V. Tryamkin

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1134/s003744661901018x

zbMATH Keywords

Lie groupgeodesicsub-Riemannian structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Sub-Riemannian geometry (53C17)

Related Items (1)

Gauss-Bonnet theorems for Lorentzian and spacelike surfaces associated to canonical connections in the Lorentzian Heisenberg group

Cites Work

• Unnamed Item
• Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group \(\mathrm{SL}(2)\)
• Sub-Riemannian structures on 3D Lie groups
• Universal methods of the search of normal geodesics on Lie groups with left-invariant sub-Riemannian metric
• Geodesics on the group of semi-affine transformations of the Euclidean plane
• Control theory from the geometric viewpoint.
• Locally isometric coverings of the Lie group $ \mathrm{SO}_0(2,1)$ with special sub-Riemannian metric
• Sub-Riemannian distance in the Lie groups SU(2) and SO(3)
• Invariant Carnot–Caratheodory Metrics on $S^3$, $SO(3)$, $SL(2)$, and Lens Spaces

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