TY - JOUR
T1 - The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
JF - Journal of Dynamical and Control Systems 17 (2011) 141-161
Y1 - 2011
A1 - Bernard Bonnard
A1 - GrĂ©goire Charlot
A1 - Roberta Ghezzi
A1 - Gabriel Janin
AB - 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.
PB - Springer
UR - http://hdl.handle.net/1963/4914
U1 - 4692
U2 - Mathematics
U3 - Functional Analysis and Applications
U4 - -1
ER -