Sub-Riemannian geodesics on the 3-dimensional Heisenberg nilmanifold
- Authors: Glutsyuk A.A.1,2,3, Sachkov Y.L.4,5
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Affiliations:
- Moscow Institute of Physics and Technology, Higher School of Modern Mathematics
- CNRS, UMR 5669 (UMPA, ENS de Lyon), Lyon, France
- HSE University, Moscow, Russia
- Ailamazyan Program Systems Institute of Russian Academy of Sciences
- Peoples' Friendship University of Russia
- Issue: Vol 80, No 1 (2025)
- Pages: 157-158
- Section: Articles
- URL: https://journals.rcsi.science/0042-1316/article/view/306738
- DOI: https://doi.org/10.4213/rm10218
- ID: 306738
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Abstract
About the authors
Alexey Antonovich Glutsyuk
Moscow Institute of Physics and Technology, Higher School of Modern Mathematics; CNRS, UMR 5669 (UMPA, ENS de Lyon), Lyon, France; HSE University, Moscow, Russia
Email: aglutsyu@ens-lyon.fr
Doctor of physico-mathematical sciences, no status
Yurii Leonidovich Sachkov
Ailamazyan Program Systems Institute of Russian Academy of Sciences; Peoples' Friendship University of Russia
Email: yusachkov@gmail.com
Doctor of physico-mathematical sciences, Associate professor
References
- A. Agrachev, D. Barilari, U. Boscain, A comprehensive introduction to sub-Riemannian geometry. From the Hamiltonian viewpoint, Cambridge Stud. Adv. Math., 181, Cambridge Univ. Press, Cambridge, 2020, xviii+745 pp.
- A. Glutsyuk, Yu. Sachkov, 2024, 49 pp.
- А. Б. Каток, Б. Хасселблат, Введение в современную теорию динамических систем, Факториал, М., 1999, 768 с.
- H. Furstenberg, Amer. J. Math., 83:4 (1961), 573–601
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