76 citations · 265 across the 33 of their papers we have counts for
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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…
Variational Approach to Differential Invariants of Rank 2 Vector Distributions
Igor Zelenko
In the present paper we construct differential invariants for generic rank 2 vector distributions on n-dimensional manifold. In the case n=5 (the first case containing functional p…
Fundamental form and Cartan's tensor of (2,5)-distributions coincide
Igor Zelenko
In our previous paper (see this arxiv math.DG/0402171) for generic rank 2 vector distributions on n-dimensional manifold (n greater or equal to 5) we constructed a special differen…