Geodesics on the group of semi-affine transformations of the Euclidean plane

DOI10.3103/S1066369X18070095zbMath1400.53025OpenAlexW2811402624WikidataQ129614624 ScholiaQ129614624MaRDI QIDQ1794390

M. V. Tryamkin

Publication date: 15 October 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18070095

zbMATH Keywords

Lie groupsgeodesicssub-Riemannian structure

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (2)

The geodesics of a sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane ⋮ The sub-Riemannian curvature of curves in the group of semiaffine transformations of the Euclidean plane

Cites Work

• 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

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