3 papers
Radial kinetic nonholonomic trajectories are Riemannian geodesics!
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martin de Diego
Nonholonomic mechanics describes the motion of systems constrained by nonintegrable constraints. One of its most remarkable properties is that the derivation of the nonholonomic eq…
Jacobi fields in nonholonomic mechanics
Alexandre Anahory Simoes, Juan Carlos Marrero, David Martin de Diego
In this paper, we define Jacobi fields for nonholonomic mechanics using a similar characterization than in Riemannian geometry. We give explicit conditions to find Jacobi fields an…
Inverse problem for Lagrangian systems on Lie algebroids and applications to reduction by symmetries
María Barbero-Liñán, Marta Farré Puiggalí, David Martín de Diego
The language of Lagrangian submanifolds is used to extend a geometric characterization of the inverse problem of the calculus of variations on tangent bundles to regular Lie algebr…