Local convexity for second order differential equations on a Lie algebroid
Differential Geometry
2021-07-13 v2 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
A theory of local convexity for a second order differential equation (SODE) on a Lie algebroid is developed. The particular case when the SODE is homogeneous quadratic is extensively discussed.
Cite
@article{arxiv.2103.14418,
title = {Local convexity for second order differential equations on a Lie algebroid},
author = {Juan Carlos Marrero and David Martín de Diego and Eduardo Martínez},
journal= {arXiv preprint arXiv:2103.14418},
year = {2021}
}
Comments
25 pages. To appear in Journal of Geometric Mechanics. arXiv admin note: substantial text overlap with arXiv:1608.01586