00940nas a2200145 4500008004100000245009900041210006900140260001300209520045300222100002100675700002300696700002000719700001900739856003600758 2011 en d00aThe sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry0 asphere and the cut locus at a tangency point in twodimensional a bSpringer3 aWe 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.1 aBonnard, Bernard1 aCharlot, GrĂ©goire1 aGhezzi, Roberta1 aJanin, Gabriel uhttp://hdl.handle.net/1963/4914