| Abstract: |
| Given a riemannian metric, Jacobi equation is a second-order differential equation satisfied by the variation field of any parameter family of geodesics and Jacobi fields are vector fields satisfying this equation along a geodesic.
Assuming that we additionally have a non-integrable distribution $D$ if we apply Lagrange-d`Alembert principle we derive the so-called nonholonomic equations. In the talk, we will discuss the generalization of the classical Jacobi equation to nonholonomic dynamics showing that is related with a new nonholonomic equation and we will derive some interesting consequences. |
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