Completeness of first and second order ODE flows and of Euler-Lagrange equations
Mathematical Physics
2015-08-04 v2 math.MP
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.
Cite
@article{arxiv.1307.6683,
title = {Completeness of first and second order ODE flows and of Euler-Lagrange equations},
author = {E. Minguzzi},
journal= {arXiv preprint arXiv:1307.6683},
year = {2015}
}
Comments
17 pages. v2: a few typos have been fixed