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math.DG2020★ 5 cited
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…
math.DG2015
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…