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arXiv · 2202.13743

Periodic geodesics for contact sub-Riemannian 3D manifolds

Yves Colin de Verdìère
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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)

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Yves Colin de Verdìère. 2022-02-28. Periodic geodesics for contact sub-Riemannian 3D manifolds. https://arxiv.org/abs/2202.13743

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