It is shown that whenever a (1,1)-type tensor field, drfined through two alternative Lagrangians, implies complete integrability for a second order Lagrangian vector field on TQ, then a bundle atlas can be found in which both he dynamics and a class of equivalent Lagrangians are completely separated.
Separability of Completely Integrable Dynamical Systems Admitting Alternative Lagrangian Descriptions
FERRARIO, Carlo;LO VECCHIO, Guido;MORANDI, Giuseppe
1985
Abstract
It is shown that whenever a (1,1)-type tensor field, drfined through two alternative Lagrangians, implies complete integrability for a second order Lagrangian vector field on TQ, then a bundle atlas can be found in which both he dynamics and a class of equivalent Lagrangians are completely separated.File in questo prodotto:
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