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math.DG2009
Jacobi Equations and Comparison Theorems for Corank 1 sub-Riemannian Structures with Symmetries
Chengbo Li, Igor Zelenko
The Jacobi curve of an extremal of optimal control problem is a curve in a Lagrangian Grassmannian defined up to a symplectic transformation and containing all information about th…
math.DG2007★ 1 cited
Differential geometry of curves in Lagrange Grassmannians with given Young diagram
Igor Zelenko, Chengbo Li
Curves in Lagrange Grassmannians appear naturally in the intrinsic study of geometric structures on manifolds. By a smooth geometric structure on a manifold we mean any submanifold…