Periodic geodesics for contact sub-Riemannian 3D manifolds

Published 28 Feb 2022 in math.DG, math.DS, math.OC, math.SG, and math.SP | (2202.13743v1)

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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Authors (1)

Yves Colin de Verdìère

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