View source for Podobryaev A. Homogeneous geodesics in sub-Riemannian geometry (abstract)

{{MeetingTalk
| speaker = Alexey Podobryaev
| title = Homogeneous geodesics in sub-Riemannian geometry
| abstract = We study homogeneous geodesics of sub-Riemannian manifolds, i.e., geodesics that are orbits of one-parametric subgroups of isometries. We obtain a criterion for a geodesic to be homogeneous in terms of its initial momentum. We discuss some examples of geodesic orbit sub-Riemannian manifolds (that means all geodesics are homogeneous) and prove that Carnot groups of step more than 2 can not be geodesic orbit. We prove that the geodesic flow for geodesic orbit sub-Riemannian manifold is integrable in non-commutative sense.
| video = https://video.gdeq.org/AMV-conf-20211217-Alexey_Podobryaev.mp4
| slides = [[Media:PodobryaevAMVconf2021slides.pdf|PodobryaevAMVconf2021slides.pdf]]
| references = 
| event = [[Diffieties, Cohomological Physics, and Other Animals]], 13-17 December 2021, Moscow.<br>''Alexandre Vinogradov Memorial Conference.''
| 79YY-MM-DD = 7978-87-82
}}