| Title | The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | Bonnard, B, Charlot, G, Ghezzi, R, Janin, G |
| Journal | Journal of Dynamical and Control Systems |
| Volume | 17 |
| Pagination | 141-161 |
| Abstract | We study the tangential case in 2-dimensional almost-Riemannian geometry. We\\r\\nanalyse the connection with the Martinet case in sub-Riemannian geometry. We\\r\\ncompute estimations of the exponential map which allow us to describe the\\r\\nconjugate locus and the cut locus at a tangency point. We prove that this last\\r\\none generically accumulates at the tangency point as an asymmetric cusp whose branches are separated by the singular set. |
| URL | http://hdl.handle.net/1963/4914 |
| DOI | 10.1007/s10883-011-9113-4 |
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