Samuël Borza
Summary: Theory of distributions, sub-Riemannian structures, and admissible trajectory, controllability and Chow-Rachevsky theorem, Cauchy-Carathéodory theorem and the endpoint map, necessary conditions for minimality (Pontryagin’s Maximum Principle, normal and abnormal extremals), the Heisenberg group, the Grushin plane, the Martinet flat structure, contact structures, and Carnot groups, metric tangent for sub-Riemannian structures.