Abstract
This paper deals with sub-Riemannian metrics onR 3 in the contact case. We study the singularities of the exponential mapping in the neighborhood of its pole. This is in stark contrast with the Riemannian case where this situation never occurs.
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El-Alaoui, EH.C., Gauthier, J.P. & Kupka, I. Small sub-Riemannian balls onR 3 . Journal of Dynamical and Control Systems 2, 359–421 (1996). https://doi.org/10.1007/BF02269424
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DOI: https://doi.org/10.1007/BF02269424