1303.6150 (Miguel Sánchez)

On the completeness of trajectories for some Mechanical systems    [PDF]

Miguel Sánchez

The classical tools which ensure the completeness of vector fields and second order differential equations for mechanical systems are revisited. Possible extensions are discussed in three directions: infinite dimensional Banach and Hilbert manifolds, Finsler metrics and pseudo-Riemannian spaces, including links with some relativistic spacetimes. Special emphasis is taken in the cleaning of known techniques, the statement of open questions and the exploration of prospective frameworks.

View original: http://arxiv.org/abs/1303.6150