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Cut Locus in the Sub-Riemannian Problem on Engel Group


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Abstract

This paper considers the left-invariant sub-Riemannian problem on the Engel group. The stratification of the cut locus and the structure of optimal synthesis are described.

About the authors

A. A. Ardentov

Program Systems Institute, Russian Academy of Sciences

Author for correspondence.
Email: aaa@pereslavl.ru
Russian Federation, Yaroslavl oblast, 152020

Yu. L. Sachkov

Program Systems Institute, Russian Academy of Sciences

Email: aaa@pereslavl.ru
Russian Federation, Yaroslavl oblast, 152020

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