Canonical form on a groupoid related to regular prolongations of Lie groups
Contact geometry of curves.
Corrections to the paper: “On formal theory of differential equations. II.”
Curvature and the equivalence problem in sub-Riemannian geometry
These notes give an introduction to the equivalence problem of sub-Riemannian manifolds. We first introduce preliminaries in terms of connections, frame bundles and sub-Riemannian geometry. Then we arrive to the main aim of these notes, which is to give the description of the canonical grading and connection existing on sub-Riemann manifolds with constant symbol. These structures are exactly what is needed in order to determine if two manifolds are isometric. We give three concrete examples, which...