Email this article On the sub-Riemannian geodesic flow for the Goursat distribution
- Authors: Agapov S.V.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 57, No 1 (2016)
- Pages: 1-6
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/170315
- DOI: https://doi.org/10.1134/S0037446616010018
- ID: 170315
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Abstract
Under consideration is the sub-Riemannian geodesic flow for the Goursat distribution. We find the level surfaces of the first integrals that are in involution and study the trajectories in the phase space whose projections to the horizontal plane are closed curves.
About the authors
S. V. Agapov
Sobolev Institute of Mathematics
Author for correspondence.
Email: agapov.sergey.v@gmail.com
Russian Federation, Novosibirsk
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