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math.DG2018
Short geodesics losing optimality in contact sub-Riemannian manifolds and stability of the 5-dimensional caustic
Ludovic Sacchelli
We study the sub-Riemannian exponential for contact distributions on manifolds of dimension greater or equal to 5. We compute an approximation of the sub-Riemannian Hamiltonian flo…
math.DG2016
Generic singularities of line fields on 2D manifolds
Ugo Boscain, Ludovic Sacchelli, Mario Sigalotti
Generic singularities of line fields have been studied for lines of principal curvature of embedded surfaces. In this paper we propose an approach to classify generic singularities…