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Register a new userSpiraling of sub-Riemannian geodesics around the Reeb flow in the 3D contact case
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Authors
Yves Colin de Verdi`ere
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We consider a closed three-dimensional contact sub-Riemannian manifold. The objective of this note is to provide a precise description of the sub-Riemannian geodesics with large initial momenta: we prove that they spiral around the Reeb orbits, not only in the phase space but also in the configuration space. Our analysis is based on a normal form along any Reeb orbit due to Melrose.
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