Cut Locus in the Sub-Riemannian Problem on Engel Group
- Authors: Ardentov A.A.1, Sachkov Y.L.1
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Affiliations:
- Program Systems Institute, Russian Academy of Sciences
- Issue: Vol 97, No 1 (2018)
- Pages: 82-85
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225463
- DOI: https://doi.org/10.1134/S1064562418010258
- ID: 225463
Cite item
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