Periodic geodesics for contact sub-Riemannian 3D manifolds
Differential Geometry
2022-03-01 v1 Dynamical Systems
Optimization and Control
Symplectic Geometry
Spectral Theory
Abstract
The goal of this paper is to study periodic geodesics for sub-Riemannian metrics on a contact 3D-manifold.We develop two rather independent subjects:1) The existence of closed geodesics spiraling around periodic Reeb orbits for a generic metric.2) The precise study of the periodic geodesics for a right invariant metric on a quotient of SL2(R)
Keywords
Cite
@article{arxiv.2202.13743,
title = {Periodic geodesics for contact sub-Riemannian 3D manifolds},
author = {Yves Colin de Verdìère},
journal= {arXiv preprint arXiv:2202.13743},
year = {2022}
}