Fiorani, Emanuele:
Some results in Lagrangian mechanics
Bollettino dell'Unione Matematica Italiana Serie 8 8-B (2005), fasc. n.3, p. 591-603, Unione Matematica Italiana (English)
pdf (247 Kb), djvu (141 Kb). | MR2182417 | Zbl 1150.70011
Sunto
Associamo ad un'equazione dinamica $\xi$ tre differenti connessioni e quindi consideriamo il significato dell'annullarsi della loro curvatura. Alcune peculiarità del caso di equazione dinamica autonoma polinomiale nelle velocità $\dot{q}$ vengono evidenziate. Finalmente, usando le cosiddette condizioni di Helmholtz, indaghiamo un particolare esempio.
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