Relation between Euler's elasticae and sub-Riemannian geodesics on \(\mathrm{SE}(2)\)

DOI10.1134/S1560354716070066zbMath1368.58007arXiv1609.03704OpenAlexW2520849223WikidataQ115247420 ScholiaQ115247420MaRDI QIDQ2361651

Yuri L. Sachkov, Andrei A. Ardentov, Alexey P. Mashtakov

Publication date: 30 June 2017

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03704

zbMATH Keywords

elasticasub-Riemannian geodesicgroup of rototranslations

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Sub-Riemannian geometry (53C17)

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