8 citations · 13 across the 5 of their papers we have counts for
4 papers · 1 filter
A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class
Boris Doubrov, Igor Zelenko
In 1910 E. Cartan constructed the canonical frame and found the most symmetric case for maximally nonholonomic rank 2 distributions on a 5-dimensional manifold. We solve the analog…
Complete systems of invariants for rank 1 curves in Lagrange Grassmannians
Igor Zelenko
Curves in Lagrange Grassmannians naturally appear when one studies intrinsically "the Jacobi equations for extremals", associated with control systems and geometric structures. In…
On curvatures and focal points of dynamical Lagrangian distributions and their reductions by first integrals
Andrej A. Agrachev, Natalia N. Chtcherbakova, Igor Zelenko
Pairs (Hamiltonian system, Lagrangian distribution), called dynamical Lagrangian distributions, appear naturally in Differential Geometry, Calculus of Variations and Rational Mecha…
On geodesic equivalence of Riemannian metrics and sub-Riemannian metrics on distributions of corank 1
Igor Zelenko
The present paper is devoted to the problem of (local) geodesic equivalence of Riemannian metrics and sub-Riemannian metrics on generic corank 1 distributions. Using Pontryagin Max…