3 citations · 4 across the 2 of their papers we have counts for
2 papers
math.DS2004★ 3 cited
Hamiltonian systems of negative curvature are hyperbolic
Andrei A. Agrachev, Natalia N. Chtcherbakova
The {\it curvature} and the {\it reduced curvature} are basic differential invariants of the pair: (Hamiltonian system, Lagrange distribution) on the symplectic manifold. We show t…
math.DG2004★ 1 cited
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…