Email this article The Geodesics of a Sub-Riemannian Metric on the Group of Semiaffine Transformations of the Euclidean Plane
- Authors: Tryamkin M.V.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 60, No 1 (2019)
- Pages: 164-177
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172273
- DOI: https://doi.org/10.1134/S003744661901018X
- ID: 172273
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Abstract
We obtain the parametrized representations of the geodesics of a left-invariant sub-Riemannian metric on the group of semiaffine transformations of the Euclidean plane. These transformations act as orientation-preserving affine mappings along one axis and as translations along the other.
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About the authors
M. V. Tryamkin
Sobolev Institute of Mathematics
Author for correspondence.
Email: maxtryamkin@math.nsc.ru
Russian Federation, Novosibirsk
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