Completeness of first and second order ODE flows and of Euler-Lagrange equations
arXiv:1307.6683 · doi:10.1016/j.geomphys.2015.06.010
Abstract
Two results on the completeness of maximal solutions to first and second order ordinary differential equations (or inclusions) over complete Riemannian manifolds, with possibly time-dependent metrics, are obtained. Applications to Lagrangian mechanics and gravitational waves are given.
17 pages. v2: a few typos have been fixed